Pith Number

pith:25V4XWSI

pith:1999:25V4XWSI47G5ACC5A5Z4RVX2B6

not attested not anchored not stored refs pending

Structure constants for the D-series Virasoro minimal models

Ingo Runkel

arxiv:hep-th/9908046 v2 · 1999-08-05 · 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{25V4XWSI47G5ACC5A5Z4RVX2B6}

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	2026-07-04T16:14:55.940118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d76bcbda48e7cdd0085d0773c8d6fa0fb1b30d398218b37757d6eca1d2fc0f8d

Aliases

arxiv: hep-th/9908046 · arxiv_version: hep-th/9908046v2 · doi: 10.48550/arxiv.hep-th/9908046 · pith_short_12: 25V4XWSI47G5 · pith_short_16: 25V4XWSI47G5ACC5 · pith_short_8: 25V4XWSI

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/25V4XWSI47G5ACC5A5Z4RVX2B6 \
  | 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: d76bcbda48e7cdd0085d0773c8d6fa0fb1b30d398218b37757d6eca1d2fc0f8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "222e45fdbb2ab293a545cc426b38740b1a173172f1de735081343d618e20094f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-08-05T13:17:03Z",
    "title_canon_sha256": "1401a166733f1d6b2c369a5ea2f9c2bc17b57940ab0fa4aa9960f9d099239310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9908046",
    "kind": "arxiv",
    "version": 2
  }
}