Pith Number

pith:JYLBFY2Z

pith:2000:JYLBFY2ZVMOABIAFBVKAM3PMJC

not attested not anchored not stored refs pending

Bifurcation in kinetic equation for interacting Fermi systems

Klaus Morawetz

arxiv:nucl-th/0012028 v5 · 2000-12-08 · nucl-th · cond-mat.stat-mech · cond-mat.str-el · nlin.CD · physics.plasm-ph · quant-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{JYLBFY2ZVMOABIAFBVKAM3PMJC}

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	2026-05-18T01:05:21.229646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e1612e359ab1c00a0050d54066dec48a52fcddd1db3652e3aad756541ccb150

Aliases

arxiv: nucl-th/0012028 · arxiv_version: nucl-th/0012028v5 · doi: 10.48550/arxiv.nucl-th/0012028 · pith_short_12: JYLBFY2ZVMOA · pith_short_16: JYLBFY2ZVMOABIAF · pith_short_8: JYLBFY2Z

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/JYLBFY2ZVMOABIAFBVKAM3PMJC \
  | 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: 4e1612e359ab1c00a0050d54066dec48a52fcddd1db3652e3aad756541ccb150

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99d33c5b4d19e5d799b3c3dc1ac7641684d8a6962c6c8c79c21a9f9640a08c19",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cond-mat.str-el",
      "nlin.CD",
      "physics.plasm-ph",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "nucl-th",
    "submitted_at": "2000-12-08T15:19:39Z",
    "title_canon_sha256": "9b641c80262912c70351073018e6846a327d11a6787b077b2f175c499215069d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nucl-th/0012028",
    "kind": "arxiv",
    "version": 5
  }
}