Pith Number

pith:3PHPKGNM

pith:2002:3PHPKGNMYWWUAFDCVLWTHIK376

not attested not anchored not stored refs pending

Resummations of free energy at high temperature

G.Cvetic (UTFSM, R.Koegerler (U.Bielefeld), Valparaiso)

arxiv:hep-ph/0207291 v3 · 2002-07-23 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PHPKGNMYWWUAFDCVLWTHIK376}

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	2026-07-04T16:34:16.493626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbcef519acc5ad401462aaed33a15bff93e8dc43b79d655783b19ddb6c754e3a

Aliases

arxiv: hep-ph/0207291 · arxiv_version: hep-ph/0207291v3 · doi: 10.48550/arxiv.hep-ph/0207291 · pith_short_12: 3PHPKGNMYWWU · pith_short_16: 3PHPKGNMYWWUAFDC · pith_short_8: 3PHPKGNM

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/3PHPKGNMYWWUAFDCVLWTHIK376 \
  | 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: dbcef519acc5ad401462aaed33a15bff93e8dc43b79d655783b19ddb6c754e3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0036b5385e98f4b5489655c8b20f8d884a3894576ec32831812278b5d976ceb7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-07-23T20:10:28Z",
    "title_canon_sha256": "b5bf73f8fd4047042136f93646ce7e1b2539729b7877b69e81081e80229017d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0207291",
    "kind": "arxiv",
    "version": 3
  }
}