Pith Number

pith:O2IHXDCZ

pith:2010:O2IHXDCZA7EJRNBLX5RQDSRZLI

not attested not anchored not stored refs pending

Noncommutative Riemannian geometry on graphs

Shahn Majid

arxiv:1011.5898 v4 · 2010-11-25 · math.QA · math.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{O2IHXDCZA7EJRNBLX5RQDSRZLI}

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	2026-05-18T02:23:17.419505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76907b8c5907c898b42bbf6301ca395a123714d3524f80894649a2091a9a8607

Aliases

arxiv: 1011.5898 · arxiv_version: 1011.5898v4 · doi: 10.48550/arxiv.1011.5898 · pith_short_12: O2IHXDCZA7EJ · pith_short_16: O2IHXDCZA7EJRNBL · pith_short_8: O2IHXDCZ

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/O2IHXDCZA7EJRNBLX5RQDSRZLI \
  | 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: 76907b8c5907c898b42bbf6301ca395a123714d3524f80894649a2091a9a8607

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8f6a9bb6b8eb8334a7c90a33b04b20fac18cf0a37d62b041de3c317b7ccbc76",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-11-25T22:45:49Z",
    "title_canon_sha256": "c994d1115d4eb82989ffc46d759206ae4481d5ddd79806800664332dbfe92e22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5898",
    "kind": "arxiv",
    "version": 4
  }
}