Pith Number

pith:5TTUHYZK

pith:2010:5TTUHYZKEA7AHQBIL7MAMYKM2R

not attested not anchored not stored refs pending

Okounkov bodies and toric degenerations

Dave Anderson

arxiv:1001.4566 v3 · 2010-01-25 · math.AG · 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{5TTUHYZKEA7AHQBIL7MAMYKM2R}

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	2026-05-18T02:58:58.168375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ece743e32a203e03c0285fd806614cd4700145df8c1bfb3a4d704a54595c3cd6

Aliases

arxiv: 1001.4566 · arxiv_version: 1001.4566v3 · doi: 10.48550/arxiv.1001.4566 · pith_short_12: 5TTUHYZKEA7A · pith_short_16: 5TTUHYZKEA7AHQBI · pith_short_8: 5TTUHYZK

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/5TTUHYZKEA7AHQBIL7MAMYKM2R \
  | 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: ece743e32a203e03c0285fd806614cd4700145df8c1bfb3a4d704a54595c3cd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a50e43ecba7639f5d0fbf409dffd7a1589458a5c8bd17d679fd4342022c623f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-01-25T23:25:22Z",
    "title_canon_sha256": "352e4123d63cb91859264bc57c5f95cb3c5be906dbe37466f3ec224db5e4df9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4566",
    "kind": "arxiv",
    "version": 3
  }
}