Pith Number

pith:UQ3KXROL

pith:2011:UQ3KXROLZGKQAGQPXO4PFAOLKU

not attested not anchored not stored refs pending

Enhancements of the rack counting invariant via N-reduced dynamical cocycles

Alissa S. Crans, Aparna Sarkar, Sam Nelson

arxiv:1108.4387 v1 · 2011-08-22 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UQ3KXROLZGKQAGQPXO4PFAOLKU}

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	2026-05-18T04:14:55.604899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a436abc5cbc995001a0fbbb8f281cb550706e3348cc08829b2132e29271796c0

Aliases

arxiv: 1108.4387 · arxiv_version: 1108.4387v1 · doi: 10.48550/arxiv.1108.4387 · pith_short_12: UQ3KXROLZGKQ · pith_short_16: UQ3KXROLZGKQAGQP · pith_short_8: UQ3KXROL

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/UQ3KXROLZGKQAGQPXO4PFAOLKU \
  | 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: a436abc5cbc995001a0fbbb8f281cb550706e3348cc08829b2132e29271796c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4162c86ee281b58426e6a96e34eaed71e3239c463e838bd77323b5a3cc5747d",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-22T17:44:28Z",
    "title_canon_sha256": "2975d92c3e817724a3a6519926aa26f09f54717dde2327cb0e34cf1103c08b78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4387",
    "kind": "arxiv",
    "version": 1
  }
}