Pith Number

pith:3DMUNKW2

pith:2015:3DMUNKW2A36CQREOACNSKU6UPW

not attested not anchored not stored refs pending

Noncommutative marked surfaces

Arkady Berenstein, Vladimir Retakh

arxiv:1510.02628 v4 · 2015-10-09 · math.QA · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3DMUNKW2A36CQREOACNSKU6UPW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:24:53.471485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8d946aada06fc28448e009b2553d47dabb4f2aebe23f0acce098b93318c0c3c

Aliases

arxiv: 1510.02628 · arxiv_version: 1510.02628v4 · doi: 10.48550/arxiv.1510.02628 · pith_short_12: 3DMUNKW2A36C · pith_short_16: 3DMUNKW2A36CQREO · pith_short_8: 3DMUNKW2

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/3DMUNKW2A36CQREOACNSKU6UPW \
  | 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: d8d946aada06fc28448e009b2553d47dabb4f2aebe23f0acce098b93318c0c3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a47db764ff4ac71df4669b13fb1628df6e2a451937cb7320cb31e0fa917c2074",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-10-09T10:56:20Z",
    "title_canon_sha256": "4797d25a245fa2e3ba179a4de46aaffda77123ce80652ea745659d50e4fb9c96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02628",
    "kind": "arxiv",
    "version": 4
  }
}