Pith Number

pith:7TRHTVYP

pith:2011:7TRHTVYPQXYGAL3JNN5DPLSORP

not attested not anchored not stored refs pending

Binary Cumulant Varieties

Bernd Sturmfels, Piotr Zwiernik

arxiv:1103.0153 v2 · 2011-03-01 · math.CO · math.AG · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7TRHTVYPQXYGAL3JNN5DPLSORP}

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	2026-05-18T04:14:07.775475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fce279d70f85f0602f696b7a37ae4e8be4f398ad8325fef47be84c8e65b5ee19

Aliases

arxiv: 1103.0153 · arxiv_version: 1103.0153v2 · doi: 10.48550/arxiv.1103.0153 · pith_short_12: 7TRHTVYPQXYG · pith_short_16: 7TRHTVYPQXYGAL3J · pith_short_8: 7TRHTVYP

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/7TRHTVYPQXYGAL3JNN5DPLSORP \
  | 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: fce279d70f85f0602f696b7a37ae4e8be4f398ad8325fef47be84c8e65b5ee19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80ea5cd02e08db6e709815e9a23bd4efb94700e56f95684f6d5c343101c59dc1",
    "cross_cats_sorted": [
      "math.AG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-01T12:32:01Z",
    "title_canon_sha256": "8941d57e0e8b6a4f549764eca5fabebf8baa4a9a0040a0f72b746d5339684fb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0153",
    "kind": "arxiv",
    "version": 2
  }
}