Pith Number

pith:NDVHVJE7

pith:2002:NDVHVJE7ZACLIIMCOLT3YS2AOY

not attested not anchored not stored refs pending

Critical analyses of order parameter and phase transitions at high density in Gross-Neveu model

Bang-Rong Zhou (Graduate School, Beijing), Chinese Academy of Sciences

arxiv:hep-th/0210023 v3 · 2002-10-03 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDVHVJE7ZACLIIMCOLT3YS2AOY}

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	2026-05-18T00:25:46.228959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68ea7aa49fc804b4218272e7bc4b407632a79fc4e39ed009ebdcfc975b6c1c23

Aliases

arxiv: hep-th/0210023 · arxiv_version: hep-th/0210023v3 · doi: 10.48550/arxiv.hep-th/0210023 · pith_short_12: NDVHVJE7ZACL · pith_short_16: NDVHVJE7ZACLIIMC · pith_short_8: NDVHVJE7

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/NDVHVJE7ZACLIIMCOLT3YS2AOY \
  | 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: 68ea7aa49fc804b4218272e7bc4b407632a79fc4e39ed009ebdcfc975b6c1c23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c25116b4448d1f2c09ba9576b7906972d75e7e067fcc5460d8b7574f3c3098d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-10-03T05:59:40Z",
    "title_canon_sha256": "e85ad3968dcbb161f6224a9172a2983748cebe40d6ed1704de16984a4d883a16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0210023",
    "kind": "arxiv",
    "version": 3
  }
}