Pith Number

pith:Z6A2ZGK7

pith:2005:Z6A2ZGK7KLIJCZZFD7HRGLPTB2

not attested not anchored not stored refs pending

Nonperturbative approach to Yang-Mills thermodynamics

Ralf Hofmann

arxiv:hep-th/0504064 v4 · 2005-04-07 · 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{Z6A2ZGK7KLIJCZZFD7HRGLPTB2}

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	2026-05-18T04:36:59.944616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf81ac995f52d09167251fcf132df30e8e671038e12037db23306303d5d4c79b

Aliases

arxiv: hep-th/0504064 · arxiv_version: hep-th/0504064v4 · doi: 10.48550/arxiv.hep-th/0504064 · pith_short_12: Z6A2ZGK7KLIJ · pith_short_16: Z6A2ZGK7KLIJCZZF · pith_short_8: Z6A2ZGK7

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/Z6A2ZGK7KLIJCZZFD7HRGLPTB2 \
  | 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: cf81ac995f52d09167251fcf132df30e8e671038e12037db23306303d5d4c79b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcf451f0bb5292913abc99a28c3ae7a2836f1f605c768d5d86b5b0365949894d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-04-07T16:34:30Z",
    "title_canon_sha256": "362b1ffa7dcbd4b3762c3a7d82b416701b3389b63a1e1a5629f8a9e2cade76e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0504064",
    "kind": "arxiv",
    "version": 4
  }
}