Pith Number

pith:2OS3TFVG

pith:2026:2OS3TFVGBULYXA7ASGMP2GHRMR

not attested not anchored not stored refs pending

Volume polynomials

June Huh

arxiv:2601.13249 v4 · 2026-01-19 · 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{2OS3TFVGBULYXA7ASGMP2GHRMR}

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	2026-06-05T01:14:33.315506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3a5b996a60d178b83e09198fd18f1646c2cf51760c4a613383e6f60285d78fa

Aliases

arxiv: 2601.13249 · arxiv_version: 2601.13249v4 · doi: 10.48550/arxiv.2601.13249 · pith_short_12: 2OS3TFVGBULY · pith_short_16: 2OS3TFVGBULYXA7A · pith_short_8: 2OS3TFVG

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/2OS3TFVGBULYXA7ASGMP2GHRMR \
  | 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: d3a5b996a60d178b83e09198fd18f1646c2cf51760c4a613383e6f60285d78fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8e7cad5a7493e0f3d7a82dadcf9babb0ecd19810968042b5ab42da5fea40206",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-01-19T17:35:31Z",
    "title_canon_sha256": "1f0e34be13794f22ca726eab8e1f74dc1b6ce764be503a09f12ae63c072dfffe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.13249",
    "kind": "arxiv",
    "version": 4
  }
}