Pith Number

pith:J2P3UIOS

pith:2001:J2P3UIOS2X43MHHWIBEI3UWEYT

not attested not anchored not stored refs pending

Phase transition strengths from the density of partition function zeroes

Ralph Kenna (Dublin), Wolfhard Janke (Leipzig)

arxiv:hep-lat/0112032 v1 · 2001-12-19 · hep-lat · 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{J2P3UIOS2X43MHHWIBEI3UWEYT}

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	2026-05-18T01:39:14.368892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e9fba21d2d5f9b61cf640488dd2c4c4f3d8dddb5e82a29e9ebd46d85d19a419

Aliases

arxiv: hep-lat/0112032 · arxiv_version: hep-lat/0112032v1 · doi: 10.48550/arxiv.hep-lat/0112032 · pith_short_12: J2P3UIOS2X43 · pith_short_16: J2P3UIOS2X43MHHW · pith_short_8: J2P3UIOS

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/J2P3UIOS2X43MHHWIBEI3UWEYT \
  | 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: 4e9fba21d2d5f9b61cf640488dd2c4c4f3d8dddb5e82a29e9ebd46d85d19a419

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66cdc0e3271c5304e300cb84a63d1fc6e2370f8d79a77ebf77059bf0125e610e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "hep-lat",
    "submitted_at": "2001-12-19T19:15:57Z",
    "title_canon_sha256": "52cc86d10aec8e55d137bfd0b4d939503a589e45061a358aa48e220855b47cde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-lat/0112032",
    "kind": "arxiv",
    "version": 1
  }
}