Pith Number

pith:TOFU3L3Y

pith:1998:TOFU3L3YWKLGSI3P2VCG37UZ7X

not attested not anchored not stored refs pending

Wigner functions of essentially nonequilibrium systems

J.Manjavidze

arxiv:hep-ph/9802318 v1 · 1998-02-13 · 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{TOFU3L3YWKLGSI3P2VCG37UZ7X}

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	2026-05-18T02:36:59.085637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b8b4daf78b29669236fd5446dfe99fdca9642255ad5d1f0ad6a61a06c89be03

Aliases

arxiv: hep-ph/9802318 · arxiv_version: hep-ph/9802318v1 · doi: 10.48550/arxiv.hep-ph/9802318 · pith_short_12: TOFU3L3YWKLG · pith_short_16: TOFU3L3YWKLGSI3P · pith_short_8: TOFU3L3Y

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/TOFU3L3YWKLGSI3P2VCG37UZ7X \
  | 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: 9b8b4daf78b29669236fd5446dfe99fdca9642255ad5d1f0ad6a61a06c89be03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f926f03aa3bb4b72c204001cfa10d16b7821e86544a14ee29455a66e324ee87",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-02-13T11:28:47Z",
    "title_canon_sha256": "765963fa8c0beb6a8f1b828a79260423b3dd202dbdee5a8e409cc9cf690045f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9802318",
    "kind": "arxiv",
    "version": 1
  }
}