Pith Number

pith:CWKXP4KF

pith:2013:CWKXP4KFOZRTCH3AC6XOR2ZVUL

not attested not anchored not stored refs pending

Thermal field theory to all orders in gradient expansion

Apostolos Pilaftsis, Peter Millington

arxiv:1302.6361 v1 · 2013-02-26 · hep-ph · 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{CWKXP4KFOZRTCH3AC6XOR2ZVUL}

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	2026-05-18T03:17:14.535218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

159577f1457663311f6017aee8eb35a2f50e8f5b0cecf8453ce5a58658829c61

Aliases

arxiv: 1302.6361 · arxiv_version: 1302.6361v1 · doi: 10.48550/arxiv.1302.6361 · pith_short_12: CWKXP4KFOZRT · pith_short_16: CWKXP4KFOZRTCH3A · pith_short_8: CWKXP4KF

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/CWKXP4KFOZRTCH3AC6XOR2ZVUL \
  | 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: 159577f1457663311f6017aee8eb35a2f50e8f5b0cecf8453ce5a58658829c61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8cb3bd0f4622a4f2e4c39241babcfe690445f3edc1e093d5eb321c4c100a537",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-02-26T09:01:36Z",
    "title_canon_sha256": "e27bcaadc75972cacc463f521e5904ee08880c79b4acf0698568b4d9fc7ee8ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6361",
    "kind": "arxiv",
    "version": 1
  }
}