Pith Number

pith:7RMLW3AS

pith:2013:7RMLW3ASPM24MIC2BJI6SLMI6O

not attested not anchored not stored refs pending

The Structure of Critical Product Sets

Matt DeVos

arxiv:1301.0096 v2 · 2013-01-01 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7RMLW3ASPM24MIC2BJI6SLMI6O}

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	2026-05-18T03:13:58.271042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc58bb6c127b35c6205a0a51e92d88f39236dab10e4a245bd21c5a349ba6d51c

Aliases

arxiv: 1301.0096 · arxiv_version: 1301.0096v2 · doi: 10.48550/arxiv.1301.0096 · pith_short_12: 7RMLW3ASPM24 · pith_short_16: 7RMLW3ASPM24MIC2 · pith_short_8: 7RMLW3AS

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/7RMLW3ASPM24MIC2BJI6SLMI6O \
  | 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: fc58bb6c127b35c6205a0a51e92d88f39236dab10e4a245bd21c5a349ba6d51c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1c83fb899f3e162163b78dc146d29526898d115619a05a5b1ffc789c717ebee",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-01T15:35:06Z",
    "title_canon_sha256": "38bfb792e8af92cd91db79c04207cb129dccb0324e07723330febdb5b9f5cb58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0096",
    "kind": "arxiv",
    "version": 2
  }
}