Pith Number

pith:LF3UIGTY

pith:2000:LF3UIGTYFLKQDAE7GYC2GN5YAG

not attested not anchored not stored refs pending

The Complex Hyperbolic Geometry of the Moduli Space of Cubic Surfaces

Daniel Allcock, Domingo Toledo, James A. Carlson

arxiv:math/0007048 v1 · 2000-07-09 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LF3UIGTYFLKQDAE7GYC2GN5YAG}

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.

Cited by

1 paper in Pith

Using Large Language Models to Study Mathematical Practice

Receipt and verification

First computed	2026-07-04T14:34:35.874797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5977441a782ad501809f3605a337b801b76e147ca339dcc192d30da405ed39b8

Aliases

arxiv: math/0007048 · arxiv_version: math/0007048v1 · doi: 10.48550/arxiv.math/0007048 · pith_short_12: LF3UIGTYFLKQ · pith_short_16: LF3UIGTYFLKQDAE7 · pith_short_8: LF3UIGTY

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/LF3UIGTYFLKQDAE7GYC2GN5YAG \
  | 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: 5977441a782ad501809f3605a337b801b76e147ca339dcc192d30da405ed39b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0a1a38b0cb6884c4571d031b9fc9085b07ca6431cef107e18e48f06f65a63bc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-07-09T14:59:38Z",
    "title_canon_sha256": "f31088008fca6cc6fb10ea895b06595f7e91da5fd6d2fa757a50387774350d6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0007048",
    "kind": "arxiv",
    "version": 1
  }
}