Pith Number

pith:5NYXZY2R

pith:2011:5NYXZY2RMGUJZHIPQFZUDKV5CD

not attested not anchored not stored refs pending

Okounkov Bodies of Complexity-One T-Varieties

Lars Petersen

arxiv:1108.0632 v1 · 2011-08-02 · 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{5NYXZY2RMGUJZHIPQFZUDKV5CD}

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	2026-05-18T04:16:23.769037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb717ce35161a89c9d0f817341aabd10d7e2115438c4df364bb31709d4c9613a

Aliases

arxiv: 1108.0632 · arxiv_version: 1108.0632v1 · doi: 10.48550/arxiv.1108.0632 · pith_short_12: 5NYXZY2RMGUJ · pith_short_16: 5NYXZY2RMGUJZHIP · pith_short_8: 5NYXZY2R

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/5NYXZY2RMGUJZHIPQFZUDKV5CD \
  | 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: eb717ce35161a89c9d0f817341aabd10d7e2115438c4df364bb31709d4c9613a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b1918e09bb7eec2149dd83f8bcc027b9a1b61707ee5bee5ad8c10abea3923a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-02T17:45:24Z",
    "title_canon_sha256": "3fb887d42eae4faf1d14986499e7746c58655f1b532d33f469c359114811b9e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0632",
    "kind": "arxiv",
    "version": 1
  }
}