Pith Number

pith:5NE7K3GR

pith:1999:5NE7K3GR2HZR222Z3X5UMBBDRP

not attested not anchored not stored refs pending

Mass generation without phase coherence in the Chiral Gross-Neveu Model at finite temperature and small N in 2+1 dimensions

Egor Babaev

arxiv:hep-th/9907089 v5 · 1999-07-13 · 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{5NE7K3GR2HZR222Z3X5UMBBDRP}

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	2026-05-18T02:35:54.337167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb49f56cd1d1f31d6b59ddfb4604238bc2b1b76bdb06a8530eb50cd96228d84a

Aliases

arxiv: hep-th/9907089 · arxiv_version: hep-th/9907089v5 · doi: 10.48550/arxiv.hep-th/9907089 · pith_short_12: 5NE7K3GR2HZR · pith_short_16: 5NE7K3GR2HZR222Z · pith_short_8: 5NE7K3GR

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/5NE7K3GR2HZR222Z3X5UMBBDRP \
  | 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: eb49f56cd1d1f31d6b59ddfb4604238bc2b1b76bdb06a8530eb50cd96228d84a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ed7163c3be5b066400173b120d6297c098acccb8767a51da3aa8758d19b49ec",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-07-13T01:45:39Z",
    "title_canon_sha256": "669e8e8a04c436e3f34203c363f9f461721146b49b7bd2be2c3a3143ac343f69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9907089",
    "kind": "arxiv",
    "version": 5
  }
}