Pith Number

pith:4TMIHAJT

pith:1996:4TMIHAJTDVYMRK6CRK7YTVGGPV

not attested not anchored not stored refs pending

Thermal Field Dynamics and Bialgebras

A. E. Santana, F. C. Khanna, T. Kopf

arxiv:hep-th/9612137 v1 · 1996-12-12 · 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{4TMIHAJTDVYMRK6CRK7YTVGGPV}

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	2026-05-18T04:35:16.357679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4d88381331d70c8abc28abf89d4c67d7154182b21c726fac4e248ad9e568671

Aliases

arxiv: hep-th/9612137 · arxiv_version: hep-th/9612137v1 · doi: 10.48550/arxiv.hep-th/9612137 · pith_short_12: 4TMIHAJTDVYM · pith_short_16: 4TMIHAJTDVYMRK6C · pith_short_8: 4TMIHAJT

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/4TMIHAJTDVYMRK6CRK7YTVGGPV \
  | 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: e4d88381331d70c8abc28abf89d4c67d7154182b21c726fac4e248ad9e568671

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df068f05130dceb22b3a73482b90b36afd84a5fc64402e4f4ba97602d25d76f2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1996-12-12T10:05:01Z",
    "title_canon_sha256": "827df4510fbad85c2c59aa1080b1c6e1d092bd68ef4abb5f8f45e44537d0ffa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9612137",
    "kind": "arxiv",
    "version": 1
  }
}