Pith Number

pith:UYKOZOH7

pith:2010:UYKOZOH7L2AZKN3WPQOODYKOTT

not attested not anchored not stored refs pending

Phase transition in the 3-D massive Gross-Neveu model

A.E. Santana, A.P.C. Malbouisson, F.C. Khanna, J.M.C. Malbouisson

arxiv:1009.4459 v2 · 2010-09-22 · hep-th · cond-mat.supr-con · hep-ph · math-ph · 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{UYKOZOH7L2AZKN3WPQOODYKOTT}

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	2026-05-18T04:34:27.294643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a614ecb8ff5e819537767c1ce1e14e9cda5bf7da2b197538ec91a58fc0727836

Aliases

arxiv: 1009.4459 · arxiv_version: 1009.4459v2 · doi: 10.48550/arxiv.1009.4459 · pith_short_12: UYKOZOH7L2AZ · pith_short_16: UYKOZOH7L2AZKN3W · pith_short_8: UYKOZOH7

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/UYKOZOH7L2AZKN3WPQOODYKOTT \
  | 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: a614ecb8ff5e819537767c1ce1e14e9cda5bf7da2b197538ec91a58fc0727836

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "202ebe6632889a8f5a8b033f5edf9c19dd5d58aac6bbd06e0206f20988458f58",
    "cross_cats_sorted": [
      "cond-mat.supr-con",
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-09-22T19:57:15Z",
    "title_canon_sha256": "7036730e218e48eeb44ffba6fca946dd6394c4df310cdfb5e024b9fe6818e3a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4459",
    "kind": "arxiv",
    "version": 2
  }
}