Pith Number

pith:TR2UTNQC

pith:2013:TR2UTNQCEFTNJWW4HYL53A42XX

not attested not anchored not stored refs pending

Robust Graph Ideals

Adam Boocher, Amy Nesky, Bryan Christopher Brown, Karl Schaefer, Laura Lyman, Takumi Murayama, Timothy Duff

arxiv:1309.7630 v1 · 2013-09-29 · math.CO · 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{TR2UTNQCEFTNJWW4HYL53A42XX}

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	2026-05-18T03:11:56.367160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c7549b6022166d4dadc3e17dd839abdf48f5d89a5ed0be403eef69daaff4d70

Aliases

arxiv: 1309.7630 · arxiv_version: 1309.7630v1 · doi: 10.48550/arxiv.1309.7630 · pith_short_12: TR2UTNQCEFTN · pith_short_16: TR2UTNQCEFTNJWW4 · pith_short_8: TR2UTNQC

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/TR2UTNQCEFTNJWW4HYL53A42XX \
  | 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: 9c7549b6022166d4dadc3e17dd839abdf48f5d89a5ed0be403eef69daaff4d70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14121c61bff11c501edd35198f407dec83d82254ed315de3efd833a7b72c20bc",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-29T17:35:16Z",
    "title_canon_sha256": "b992d570e78bc387ac2bc8c1affad93d79bdb2a3a619e29bb22f8a75b9192636"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7630",
    "kind": "arxiv",
    "version": 1
  }
}