Pith Number

pith:VKTB7SYK

pith:2012:VKTB7SYKFX4VGC6VEQJ7D2PZCW

not attested not anchored not stored refs pending

Graphical models in Macaulay2

Luis David Garc\'ia-Puente, Seth Sullivant, Sonja Petrovi\'c

arxiv:1208.6550 v3 · 2012-08-31 · math.AC · stat.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{VKTB7SYKFX4VGC6VEQJ7D2PZCW}

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	2026-05-18T03:36:57.986567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaa61fcb0a2df9530bd52413f1e9f915b13d586bb6cdfb52dcdd809a62aea2a7

Aliases

arxiv: 1208.6550 · arxiv_version: 1208.6550v3 · doi: 10.48550/arxiv.1208.6550 · pith_short_12: VKTB7SYKFX4V · pith_short_16: VKTB7SYKFX4VGC6V · pith_short_8: VKTB7SYK

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/VKTB7SYKFX4VGC6VEQJ7D2PZCW \
  | 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: aaa61fcb0a2df9530bd52413f1e9f915b13d586bb6cdfb52dcdd809a62aea2a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9c5fbb0dcd496a2a123f2063cc7398b33a3cb3da0edccd743a9388c2d3c0308",
    "cross_cats_sorted": [
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-08-31T16:54:48Z",
    "title_canon_sha256": "5c9f1f617bda9963ffb60a3764b0644b3710ceb8b005298e4fa745e257c3d778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6550",
    "kind": "arxiv",
    "version": 3
  }
}