Pith Number

pith:4GHQCT7I

pith:2002:4GHQCT7IWJVO34HV6CCAP2YISX

not attested not anchored not stored refs pending

A Farewell to Liouvillians

J. T. Chalker, S. L. Sondhi, Vadim Oganesyan

arxiv:cond-mat/0212232 v2 · 2002-12-10 · cond-mat.dis-nn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GHQCT7IWJVO34HV6CCAP2YISX}

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	2026-05-18T03:24:32.704935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e18f014fe8b26aedf0f5f08407eb0895ff7afa4e31315355378b5867fddd5dde

Aliases

arxiv: cond-mat/0212232 · arxiv_version: cond-mat/0212232v2 · doi: 10.48550/arxiv.cond-mat/0212232 · pith_short_12: 4GHQCT7IWJVO · pith_short_16: 4GHQCT7IWJVO34HV · pith_short_8: 4GHQCT7I

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/4GHQCT7IWJVO34HV6CCAP2YISX \
  | 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: e18f014fe8b26aedf0f5f08407eb0895ff7afa4e31315355378b5867fddd5dde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "031c5a5ce2c261a18157fd67540142de81b8670ea69a7c93669b36517370df27",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2002-12-10T20:31:27Z",
    "title_canon_sha256": "e9f65d1fe1b2a6e3364528a2c8c93de4ff9f87c080b226f7499d38d18dc56cb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0212232",
    "kind": "arxiv",
    "version": 2
  }
}