Pith Number

pith:TW6L27WF

pith:2026:TW6L27WFWN4JEGYRQDKXVE7EYH

not attested not anchored not stored refs pending

Lee-Yang Zeros And Particle Fluctuations

Ian Jauslin, Joel L. Lebowitz, Mohamed El Hedi Bahri

arxiv:2607.26975 v1 · 2026-07-29 · math-ph · cond-mat.stat-mech · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TW6L27WFWN4JEGYRQDKXVE7EYH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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	2026-07-30T01:23:13.189382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

9dbcbd7ec5b378921b1180d57a93e4c1eb25fce94534e168b716fb16758debae

Aliases

arxiv: 2607.26975 · arxiv_version: 2607.26975v1 · doi: 10.48550/arxiv.2607.26975 · pith_short_12: TW6L27WFWN4J · pith_short_16: TW6L27WFWN4JEGYR · pith_short_8: TW6L27WF

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/TW6L27WFWN4JEGYRQDKXVE7EYH \
  | 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: 9dbcbd7ec5b378921b1180d57a93e4c1eb25fce94534e168b716fb16758debae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5b6a5a21f73f7b6d1e20349cf0c079d978922550f85441c2cfdfc58e06aa62a",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-29T14:35:24Z",
    "title_canon_sha256": "acbbfc416a5ba7652ec42d277532487ca7be2d6275b5830da0367a879f04b08e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26975",
    "kind": "arxiv",
    "version": 1
  }
}