Pith Number

pith:2IBBNG2B

pith:2002:2IBBNG2BFTHIBG375GOSI35ZUL

not attested not anchored not stored refs pending

Second Virial Coefficient for Noncommutative Space

Ahmed Jellal, Hendrik B. Geyer

arxiv:hep-th/0201203 v3 · 2002-01-25 · hep-th · cond-mat · 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{2IBBNG2BFTHIBG375GOSI35ZUL}

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	2026-07-04T16:34:32.544240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d202169b412cce809b7fe99d246fb9a2e8c7c5d051cd04132c3da13cffe8442d

Aliases

arxiv: hep-th/0201203 · arxiv_version: hep-th/0201203v3 · doi: 10.48550/arxiv.hep-th/0201203 · pith_short_12: 2IBBNG2BFTHI · pith_short_16: 2IBBNG2BFTHIBG37 · pith_short_8: 2IBBNG2B

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/2IBBNG2BFTHIBG375GOSI35ZUL \
  | 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: d202169b412cce809b7fe99d246fb9a2e8c7c5d051cd04132c3da13cffe8442d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a98eea91f8dd2dd05517df77880e7556b5ff95f739552ed8cecd8e9cebc43f7",
    "cross_cats_sorted": [
      "cond-mat",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-01-25T11:45:40Z",
    "title_canon_sha256": "81800dba789611655684c5665e8987df256c1312eb540ef790d4d135ca8699e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0201203",
    "kind": "arxiv",
    "version": 3
  }
}