Pith Number

pith:5UNCI6XM

pith:2012:5UNCI6XMYYGXXLP7LKY44R47C2

not attested not anchored not stored refs pending

Functions on Okounkov bodies coming from geometric valuations (with an appendix by S\'ebastien Boucksom)

Alex K\"uronya, Catriona Maclean, Tomasz Szemberg

arxiv:1210.3523 v2 · 2012-10-12 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5UNCI6XMYYGXXLP7LKY44R47C2}

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	2026-05-18T03:34:25.191263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed1a247aecc60d7badff5ab1ce479f16ab5fd75a96c8c46f0f3dcf72382c1ee1

Aliases

arxiv: 1210.3523 · arxiv_version: 1210.3523v2 · doi: 10.48550/arxiv.1210.3523 · pith_short_12: 5UNCI6XMYYGX · pith_short_16: 5UNCI6XMYYGXXLP7 · pith_short_8: 5UNCI6XM

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/5UNCI6XMYYGXXLP7LKY44R47C2 \
  | 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: ed1a247aecc60d7badff5ab1ce479f16ab5fd75a96c8c46f0f3dcf72382c1ee1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "660431a5a00a651eea7ce4f270d1b4b89c83e9448a235183ba6eb6f67fcb3675",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-12T14:11:15Z",
    "title_canon_sha256": "56aaca08f97c2855b9fac8a6c187315362865f648d248501509ae14edc4ce750"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3523",
    "kind": "arxiv",
    "version": 2
  }
}