Pith Number

pith:LZWRVDEE

pith:1991:LZWRVDEE5JEDHGJJQ7YZIXO7MD

not attested not anchored not stored refs pending

Loop Equations and the Topological Phase of Multi-Cut Matrix Models

C. Crnkovic, G. Moore, M. Douglas

arxiv:hep-th/9108014 v1 · 1991-08-22 · 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{LZWRVDEE5JEDHGJJQ7YZIXO7MD}

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	2026-05-18T01:38:45.225283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e6d1a8c84ea4833992987f1945ddf60d3b93525507e04eac8ae07455d5af79b

Aliases

arxiv: hep-th/9108014 · arxiv_version: hep-th/9108014v1 · doi: 10.48550/arxiv.hep-th/9108014 · pith_short_12: LZWRVDEE5JED · pith_short_16: LZWRVDEE5JEDHGJJ · pith_short_8: LZWRVDEE

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/LZWRVDEE5JEDHGJJQ7YZIXO7MD \
  | 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: 5e6d1a8c84ea4833992987f1945ddf60d3b93525507e04eac8ae07455d5af79b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54f254db884ef5bde00aa8df7d42b11c900ec01975f0beed82bdffb1367ce90a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1991-08-22T23:44:00Z",
    "title_canon_sha256": "9f4e5a8d2b309de220120f7dcf1987a1fe45cac199eecea1d1578f268cdafc98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9108014",
    "kind": "arxiv",
    "version": 1
  }
}