Pith Number

pith:J2XT4BB6

pith:2026:J2XT4BB66QL6PIGZZTYSISFCTO

not attested not anchored not stored refs resolved

Grassmann tensor networks

Jia-Ji Zhu, Jian-Gang Kong, Z. Y. Xie

Grassmann tensor networks are introduced from basic operations to algorithm Grassmannization and validated on models from particle physics and condensed matter.

arxiv:2605.12907 v1 · 2026-05-13 · cond-mat.str-el

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\pithnumber{J2XT4BB66QL6PIGZZTYSISFCTO}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Grassmann tensor network methods offer powerful numerical tools for fermionic many-body systems in the coherent-state path-integral representation and are validated in several interesting models in both particle physics and condensed matter physics.

C2weakest assumption

That the Grassmann tensor operations and their Grassmannized algorithms can be implemented efficiently enough for practical simulations of strongly correlated systems without prohibitive computational overhead or sign problems.

C3one line summary

Grassmann tensor networks are introduced from basic operations to algorithm Grassmannization and validated on models from particle physics and condensed matter.

References

138 extracted · 138 resolved · 4 Pith anchors

[1] J. Hubbard. Electron correlations in narrow energy bands. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 276(1365):238–257, 11 1963 1963

[2] F. C. Zhang and T. M. Rice. Effective hamiltonian for the superconducting cu oxides. Phys. Rev. B, 37:3759–3761, Mar 1988 1988

[3] P. W. Anderson. Localized magnetic states in metals.Phys. Rev., 124:41–53, Oct 1961 1961

[4] Resistance minimum in dilute magnetic alloys 1964

[5] Springer New York, NY, 1994 1994

Receipt and verification

First computed	2026-05-18T03:09:10.570823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eaf3e043ef417e7a0d9ccf12448a29b808c125d2fc1c3f05471e006202d5a18

Aliases

arxiv: 2605.12907 · arxiv_version: 2605.12907v1 · doi: 10.48550/arxiv.2605.12907 · pith_short_12: J2XT4BB66QL6 · pith_short_16: J2XT4BB66QL6PIGZ · pith_short_8: J2XT4BB6

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/J2XT4BB66QL6PIGZZTYSISFCTO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 4eaf3e043ef417e7a0d9ccf12448a29b808c125d2fc1c3f05471e006202d5a18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "691e744f227ddc4c45b9642365f9d6441887587629f25f255721675b2aaaa5cf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-05-13T02:35:32Z",
    "title_canon_sha256": "2d8cd6d857bc3b3ea564ba9b88ba1ac1316c4cd4857b10d2ad162e1075b28e4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.12907",
    "kind": "arxiv",
    "version": 1
  }
}