Pith Number

pith:NH2ZPETS

pith:2009:NH2ZPETSBRILX7HMRENRX3EKET

not attested not anchored not stored refs pending

Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory

A.G. Khovanskii, Kiumars Kaveh

arxiv:0904.3350 v3 · 2009-04-21 · math.AG · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NH2ZPETSBRILX7HMRENRX3EKET}

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	2026-05-18T03:59:03.527966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69f59792720c50bbfcec891b1bec8a24e7182315a52638f012fe293ed20df90a

Aliases

arxiv: 0904.3350 · arxiv_version: 0904.3350v3 · doi: 10.48550/arxiv.0904.3350 · pith_short_12: NH2ZPETSBRIL · pith_short_16: NH2ZPETSBRILX7HM · pith_short_8: NH2ZPETS

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/NH2ZPETSBRILX7HMRENRX3EKET \
  | 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: 69f59792720c50bbfcec891b1bec8a24e7182315a52638f012fe293ed20df90a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65a2694d8b45b227be2183087f3dad0745c3f39e90a4c06fe603afc2c25ef996",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-04-21T21:35:19Z",
    "title_canon_sha256": "73dfc93a5abcc022c217dbdec91f403386f1f89b386f90519e529e186c9c7ee8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.3350",
    "kind": "arxiv",
    "version": 3
  }
}