Pith Number

pith:UVJBNU6S

pith:2012:UVJBNU6S3M3KDJCYTQL76GO5BB

not attested not anchored not stored refs pending

Nonanalyticity of the free energy in thermal field theory

F. T. Brandt, J. B. Siqueira, J. Frenkel

arxiv:1211.3091 v1 · 2012-11-13 · 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{UVJBNU6S3M3KDJCYTQL76GO5BB}

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	2026-05-18T03:40:51.879989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a55216d3d2db36a1a4589c17ff19dd087579b69fc1f7e1d3b01ea48848c3deaf

Aliases

arxiv: 1211.3091 · arxiv_version: 1211.3091v1 · doi: 10.48550/arxiv.1211.3091 · pith_short_12: UVJBNU6S3M3K · pith_short_16: UVJBNU6S3M3KDJCY · pith_short_8: UVJBNU6S

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/UVJBNU6S3M3KDJCYTQL76GO5BB \
  | 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: a55216d3d2db36a1a4589c17ff19dd087579b69fc1f7e1d3b01ea48848c3deaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55b3f65ff5eae077c4f98221c568a8565565c9424f9e869e74c19c2a239b31d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-11-13T19:48:58Z",
    "title_canon_sha256": "e068704f5875c9b73b10cb5ab64f9d2dd3791ef9b0237652ec197e0dc5d7d7cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3091",
    "kind": "arxiv",
    "version": 1
  }
}