Pith. sign in
Pith Number

pith:XKIEZWTK

pith:2026:XKIEZWTKL77RKEOUSFB5P5NB42
not attested not anchored not stored refs pending

Static vacancies as parametrized conformal defects in the critical $J_1$--$J_2$ transverse-field Ising chain

A. R. Pereira, R. C. Silva, R. J. C. Lopes, R. L. Silva

arxiv:2607.06511 v1 · 2026-07-07 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XKIEZWTKL77RKEOUSFB5P5NB42}

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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 2026-07-08T01:19:28.456549Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ba904cda6a5fff1511d49143d7f5a1e6a5533b9f9ddc0c7a14a6f10330b36f6e

Aliases

arxiv: 2607.06511 · arxiv_version: 2607.06511v1 · doi: 10.48550/arxiv.2607.06511 · pith_short_12: XKIEZWTKL77R · pith_short_16: XKIEZWTKL77RKEOU · pith_short_8: XKIEZWTK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XKIEZWTKL77RKEOUSFB5P5NB42 \
  | 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: ba904cda6a5fff1511d49143d7f5a1e6a5533b9f9ddc0c7a14a6f10330b36f6e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "192356efe46af2a1182e2852b7c5474b00c4aa45d15c176a96e06bfd5f4f6753",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-07-07T17:14:29Z",
    "title_canon_sha256": "1ec027353c8eb0c6d4aa2df96ab1948e18fa00bb65ab2093302053fcf152a8a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06511",
    "kind": "arxiv",
    "version": 1
  }
}