Pith Number

pith:TB2DP74C

pith:2013:TB2DP74CQYJVZLNTWCUBV62QUD

not attested not anchored not stored refs pending

Vanishing sequences and Okounkov bodies

Alex K\"uronya, Catriona Maclean, S\'ebastien Boucksom, Tomasz Szemberg

arxiv:1306.2181 v2 · 2013-06-10 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TB2DP74CQYJVZLNTWCUBV62QUD}

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	2026-05-18T01:17:26.248712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

987437ff8286135cadb3b0a81afb50a0f8e8d314aa793684436e74b409eb9302

Aliases

arxiv: 1306.2181 · arxiv_version: 1306.2181v2 · doi: 10.48550/arxiv.1306.2181 · pith_short_12: TB2DP74CQYJV · pith_short_16: TB2DP74CQYJVZLNT · pith_short_8: TB2DP74C

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/TB2DP74CQYJVZLNTWCUBV62QUD \
  | 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: 987437ff8286135cadb3b0a81afb50a0f8e8d314aa793684436e74b409eb9302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ca8ef37286dc299a6e4cbac2df44dcdec6e4f88fc2a72c09b1bbf9fac480097",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-06-10T12:29:53Z",
    "title_canon_sha256": "1c972d1983a1a3b69e4a55c08338d5907624e7b229f65be0910956d709925dea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2181",
    "kind": "arxiv",
    "version": 2
  }
}