Pith Number

pith:2MSPUMO7

pith:2012:2MSPUMO7FW6WC4HBL2QXSCYEOY

not attested not anchored not stored refs pending

Non-normal very ample polytopes and their holes

Akihiro Higashitani

arxiv:1208.3955 v2 · 2012-08-20 · math.CO · math.AC · 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{2MSPUMO7FW6WC4HBL2QXSCYEOY}

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	2026-05-18T03:39:52.749054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d324fa31df2dbd6170e15ea1790b0476110a4e52c44f5f1b080d5d5ddc893737

Aliases

arxiv: 1208.3955 · arxiv_version: 1208.3955v2 · doi: 10.48550/arxiv.1208.3955 · pith_short_12: 2MSPUMO7FW6W · pith_short_16: 2MSPUMO7FW6WC4HB · pith_short_8: 2MSPUMO7

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/2MSPUMO7FW6WC4HBL2QXSCYEOY \
  | 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: d324fa31df2dbd6170e15ea1790b0476110a4e52c44f5f1b080d5d5ddc893737

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8efbfda6475d71e22a114dea4337e3a82245be98d45095f7000f17ca45a3a1cf",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-20T09:36:14Z",
    "title_canon_sha256": "cbb5df042231a2cc8f9c4dc73077eaea7492217bd874f39e3f0451a1302eca9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3955",
    "kind": "arxiv",
    "version": 2
  }
}