Pith Number

pith:4W3KBE33

pith:2004:4W3KBE33GTXL4EPAUI4XQWPRMW

not attested not anchored not stored refs pending

Logarithmic limits of minimal models

Jorgen Rasmussen

arxiv:hep-th/0405257 v2 · 2004-05-27 · 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{4W3KBE33GTXL4EPAUI4XQWPRMW}

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	2026-05-18T02:35:39.717670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5b6a0937b34eebe11e0a2397859f165b2f416e50159298ca1ad9812a4188d89

Aliases

arxiv: hep-th/0405257 · arxiv_version: hep-th/0405257v2 · doi: 10.48550/arxiv.hep-th/0405257 · pith_short_12: 4W3KBE33GTXL · pith_short_16: 4W3KBE33GTXL4EPA · pith_short_8: 4W3KBE33

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/4W3KBE33GTXL4EPAUI4XQWPRMW \
  | 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: e5b6a0937b34eebe11e0a2397859f165b2f416e50159298ca1ad9812a4188d89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3506211b04b2f56bf115220ee4cc5779a5816de66a2249a6e705cf4ebd4a216d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-05-27T17:36:15Z",
    "title_canon_sha256": "d80c14dd7ab3f1c9751c2482e3e97a8ebc6cde87973c8453ddb622b4ab1898d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0405257",
    "kind": "arxiv",
    "version": 2
  }
}