Pith Number

pith:MZF22ZZI

pith:2009:MZF22ZZIQ2V66XLTN2HBUNRVMY

not attested not anchored not stored refs pending

Okounkov bodies of filtered linear series

Huayi Chen, Sebastien Boucksom

arxiv:0911.2923 v1 · 2009-11-15 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZF22ZZIQ2V66XLTN2HBUNRVMY}

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	2026-05-17T23:53:37.064573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

664bad672886abef5d736e8e1a363566266a9c200728fb4729e8ae4f796a0b86

Aliases

arxiv: 0911.2923 · arxiv_version: 0911.2923v1 · doi: 10.48550/arxiv.0911.2923 · pith_short_12: MZF22ZZIQ2V6 · pith_short_16: MZF22ZZIQ2V66XLT · pith_short_8: MZF22ZZI

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/MZF22ZZIQ2V66XLTN2HBUNRVMY \
  | 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: 664bad672886abef5d736e8e1a363566266a9c200728fb4729e8ae4f796a0b86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4959eb4b2728e60602a54e95b3071f5aa5a51bca586930b2ce8021106d782e17",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-11-15T22:17:35Z",
    "title_canon_sha256": "246c637be33087bb851ec0f7e8d6e41c1235a7214b346cbf4ca2ace1799f631e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2923",
    "kind": "arxiv",
    "version": 1
  }
}