Pith Number

pith:TT4XL25Y

pith:2010:TT4XL25YF66III5WKKOLYRWLLE

not attested not anchored not stored refs pending

Moduli of Singular Curves

Jack Hall

arxiv:1011.6007 v1 · 2010-11-28 · 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{TT4XL25YF66III5WKKOLYRWLLE}

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	2026-05-18T04:34:37.703095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cf975ebb82fbc8423b6529cbc46cb591366d4094020710cb896b10fc758907b

Aliases

arxiv: 1011.6007 · arxiv_version: 1011.6007v1 · doi: 10.48550/arxiv.1011.6007 · pith_short_12: TT4XL25YF66I · pith_short_16: TT4XL25YF66III5W · pith_short_8: TT4XL25Y

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/TT4XL25YF66III5WKKOLYRWLLE \
  | 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: 9cf975ebb82fbc8423b6529cbc46cb591366d4094020710cb896b10fc758907b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fb9fc9f4bb09782d6c9761146898efe0e3fa55afa17a340c984f0fb72eceeef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-28T00:13:23Z",
    "title_canon_sha256": "405906a5b3852022c8a1cf3fd75cd49667256bf135450d34ea7f35234123f41e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6007",
    "kind": "arxiv",
    "version": 1
  }
}