Pith Number

pith:GTRPI4BN

pith:2006:GTRPI4BNSBODZNNN6P4WB3PTFE

not attested not anchored not stored refs pending

Factorization of multiple integrals representing the density matrix of a finite segment of the Heisenberg spin chain

Andreas Kl\"umper, Frank G\"ohmann, Herman E. Boos, Junji Suzuki

arxiv:hep-th/0603064 v3 · 2006-03-08 · hep-th · cond-mat.stat-mech

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GTRPI4BNSBODZNNN6P4WB3PTFE}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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.

Receipt and verification

First computed	2026-05-18T04:28:37.342700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34e2f4702d905c3cb5adf3f960edf32918bad18c806019a4ccb90fe41ff485f5

Aliases

arxiv: hep-th/0603064 · arxiv_version: hep-th/0603064v3 · doi: 10.48550/arxiv.hep-th/0603064 · pith_short_12: GTRPI4BNSBOD · pith_short_16: GTRPI4BNSBODZNNN · pith_short_8: GTRPI4BN

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GTRPI4BNSBODZNNN6P4WB3PTFE \
  | 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: 34e2f4702d905c3cb5adf3f960edf32918bad18c806019a4ccb90fe41ff485f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b85bfc2dc55485cc29d2cd8e3cb46ced98312ab5b1ea4ce70ddb577859306d5e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-03-08T15:48:04Z",
    "title_canon_sha256": "7366be59115fb47781eed3267471bfc369bca0380cb1a6399686edfaba4637b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0603064",
    "kind": "arxiv",
    "version": 3
  }
}