Pith Number

pith:HTV4THBN

pith:2024:HTV4THBNFXO4FAV3PZANIOTZD2

not attested not anchored not stored refs pending

Q-divisor and Ampleness

Seunghun Lee

arxiv:2411.18081 v1 · 2024-11-27 · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HTV4THBNFXO4FAV3PZANIOTZD2}

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	2026-07-05T09:41:11.512303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cebc99c2d2dddc282bb7e40d43a791eac86fb90cead5116dee95809bd53eea3

Aliases

arxiv: 2411.18081 · arxiv_version: 2411.18081v1 · doi: 10.48550/arxiv.2411.18081 · pith_short_12: HTV4THBNFXO4 · pith_short_16: HTV4THBNFXO4FAV3 · pith_short_8: HTV4THBN

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/HTV4THBNFXO4FAV3PZANIOTZD2 \
  | 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: 3cebc99c2d2dddc282bb7e40d43a791eac86fb90cead5116dee95809bd53eea3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b6f3c7d1b8f93dd25b1fa84edeb26e716ebb347e5c8a79225c2fb95b0da9fac",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-11-27T06:35:02Z",
    "title_canon_sha256": "44bc03443b652a86cb5eb420cd5ce1c82d717ee6dc5d5f47b5168bd4edf6416d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.18081",
    "kind": "arxiv",
    "version": 1
  }
}