Pith Number

pith:NCABKZCJ

pith:2010:NCABKZCJLS2OC5QHSGBKPR2T74

not attested not anchored not stored refs pending

Okounkov bodies for ample line bundles

Henrik Sepp\"anen

arxiv:1007.1915 v3 · 2010-07-12 · math.CV · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCABKZCJLS2OC5QHSGBKPR2T74}

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	2026-05-18T03:54:15.411383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68801564495cb4e176079182a7c753ff01b390e40fdfb6f13abe249a1cb50f33

Aliases

arxiv: 1007.1915 · arxiv_version: 1007.1915v3 · doi: 10.48550/arxiv.1007.1915 · pith_short_12: NCABKZCJLS2O · pith_short_16: NCABKZCJLS2OC5QH · pith_short_8: NCABKZCJ

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/NCABKZCJLS2OC5QHSGBKPR2T74 \
  | 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: 68801564495cb4e176079182a7c753ff01b390e40fdfb6f13abe249a1cb50f33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4a618b3a8c920a31976f4c374e639f1597c750b6ab1238cdeb67795ab197f59",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-07-12T14:42:59Z",
    "title_canon_sha256": "fe118124b8dc3881cb10333585dd6a2258727b8a48afc695a9ab0a56cbae3ed2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1915",
    "kind": "arxiv",
    "version": 3
  }
}