Pith Number

pith:73EDTDEG

pith:2000:73EDTDEGFUFJU5I2OZYWBUTN4S

not attested not anchored not stored refs pending

Critical thermodynamics of the two-dimensional systems in five-loop renormalization-group approximation

A. I. Sokolov (Saint Petersburg Electrotechnical University, E. V. Orlov, Russia), Saint Petersburg

arxiv:hep-th/0003140 v5 · 2000-03-16 · hep-th · cond-mat · hep-lat · 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{73EDTDEGFUFJU5I2OZYWBUTN4S}

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	2026-05-18T01:19:31.219205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fec8398c862d0a9a751a767160d26de4b0622cb8666e908f403c1cf77fdd319c

Aliases

arxiv: hep-th/0003140 · arxiv_version: hep-th/0003140v5 · doi: 10.48550/arxiv.hep-th/0003140 · pith_short_12: 73EDTDEGFUFJ · pith_short_16: 73EDTDEGFUFJU5I2 · pith_short_8: 73EDTDEG

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/73EDTDEGFUFJU5I2OZYWBUTN4S \
  | 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: fec8398c862d0a9a751a767160d26de4b0622cb8666e908f403c1cf77fdd319c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "805f2e9353b577d3b9c64cca9c4eb8d8b77dc0efe6077b2321f52338b26ea488",
    "cross_cats_sorted": [
      "cond-mat",
      "hep-lat",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2000-03-16T15:27:36Z",
    "title_canon_sha256": "f83d2ad4240d9d6ba21085190d0ce337579a8a15c55a7cfe5a8f19418bee2469"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0003140",
    "kind": "arxiv",
    "version": 5
  }
}