Pith Number

pith:YTPBFA36

pith:2012:YTPBFA364YDEL7M6CNTUVQMATN

not attested not anchored not stored refs pending

Okounkov bodies of finitely generated divisors

Alex K\"uronya, Dave Anderson, Victor Lozovanu

arxiv:1206.2499 v2 · 2012-06-12 · 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{YTPBFA364YDEL7M6CNTUVQMATN}

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	2026-05-18T01:55:43.523218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4de12837ee60645fd9e13674ac1809b634ed92804b38b2ea3842b5746afb63d

Aliases

arxiv: 1206.2499 · arxiv_version: 1206.2499v2 · doi: 10.48550/arxiv.1206.2499 · pith_short_12: YTPBFA364YDE · pith_short_16: YTPBFA364YDEL7M6 · pith_short_8: YTPBFA36

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/YTPBFA364YDEL7M6CNTUVQMATN \
  | 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: c4de12837ee60645fd9e13674ac1809b634ed92804b38b2ea3842b5746afb63d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d5f1d5d1e6aaf41381895eea57d2243d8704af2610169c859277e05dea93608",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-12T11:43:23Z",
    "title_canon_sha256": "26feb7404c35368912d2dedc2cf428b1218dc5a9bef88f55dd360c21f772c53a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2499",
    "kind": "arxiv",
    "version": 2
  }
}