Pith Number

pith:WR3XREJU

pith:2011:WR3XREJU3OESB2B6PSYLBXCEV6

not attested not anchored not stored refs pending

Lattices, graphs, and Conway mutation

Joshua Evan Greene

arxiv:1103.0487 v1 · 2011-03-02 · math.GT · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WR3XREJU3OESB2B6PSYLBXCEV6}

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	2026-05-18T04:27:34.789571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b477789134db8920e83e7cb0b0dc44afb39b8fe4fc84429b7bc58a905edd1a35

Aliases

arxiv: 1103.0487 · arxiv_version: 1103.0487v1 · doi: 10.48550/arxiv.1103.0487 · pith_short_12: WR3XREJU3OES · pith_short_16: WR3XREJU3OESB2B6 · pith_short_8: WR3XREJU

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/WR3XREJU3OESB2B6PSYLBXCEV6 \
  | 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: b477789134db8920e83e7cb0b0dc44afb39b8fe4fc84429b7bc58a905edd1a35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb56c06ac009566a17155f0c8950e3600d0a552ff79c10f6e3ec200cb369e0de",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-03-02T17:13:20Z",
    "title_canon_sha256": "306f9cd53e21a581c4033f16cea84db1f97d6ca6f89bd8288fc3c1e46fbb3810"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0487",
    "kind": "arxiv",
    "version": 1
  }
}