Pith Number

pith:YT3IUBKY

pith:2013:YT3IUBKY2F3RFABDEGDAWB34SB

not attested not anchored not stored refs pending

Some equations for the universal Kummer variety

Bert van Geemen

arxiv:1307.2463 v2 · 2013-07-09 · 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{YT3IUBKY2F3RFABDEGDAWB34SB}

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	2026-05-18T03:18:18.068638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4f68a0558d17712802321860b077c90633ba730c35d1bc05a997af2369b2cf2

Aliases

arxiv: 1307.2463 · arxiv_version: 1307.2463v2 · doi: 10.48550/arxiv.1307.2463 · pith_short_12: YT3IUBKY2F3R · pith_short_16: YT3IUBKY2F3RFABD · pith_short_8: YT3IUBKY

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/YT3IUBKY2F3RFABDEGDAWB34SB \
  | 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: c4f68a0558d17712802321860b077c90633ba730c35d1bc05a997af2369b2cf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fabffd70a4839703232111350986e9e9373a0ef9c744eea688e83aa31ee06f1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-09T14:07:08Z",
    "title_canon_sha256": "bdebd88d6841fd5738a2c5da75185f2ed68bef481e87ea1da21b537ac48f58dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2463",
    "kind": "arxiv",
    "version": 2
  }
}