Pith Number

pith:QVAS5YDA

pith:2007:QVAS5YDALAEQ6VNF6THIQJXZ4J

not attested not anchored not stored refs pending

Yang-Mills thermodynamics

Ralf Hofmann

arxiv:0710.0962 v3 · 2007-10-04 · 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{QVAS5YDALAEQ6VNF6THIQJXZ4J}

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	2026-07-04T16:21:39.359124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85412ee06058090f55a5f4ce8826f9e26f2de6074ee02506fdfc2daa8f693bf9

Aliases

arxiv: 0710.0962 · arxiv_version: 0710.0962v3 · doi: 10.48550/arxiv.0710.0962 · pith_short_12: QVAS5YDALAEQ · pith_short_16: QVAS5YDALAEQ6VNF · pith_short_8: QVAS5YDA

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/QVAS5YDALAEQ6VNF6THIQJXZ4J \
  | 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: 85412ee06058090f55a5f4ce8826f9e26f2de6074ee02506fdfc2daa8f693bf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c2a68bfc9f6416bd2cb4ec1db1c43ede382b59dc618b8a416165175dd33fb43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2007-10-04T09:31:00Z",
    "title_canon_sha256": "34372263fffcccc5b079bf458e60140d5cd689ae29a962da02628d89d09bf6db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0962",
    "kind": "arxiv",
    "version": 3
  }
}