Pith Number

pith:B5Q3CNHQ

pith:2013:B5Q3CNHQSZ2ILC3IFFDQFSVS67

not attested not anchored not stored refs pending

On the normality of Higgins commutators

Alan S. Cigoli, James R. A. Gray, Tim Van der Linden

arxiv:1312.5474 v2 · 2013-12-19 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B5Q3CNHQSZ2ILC3IFFDQFSVS67}

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	2026-05-18T02:26:53.021368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f61b134f09674858b68294702cab2f7e03cb32dd46144579a9ed0451a77f9fa

Aliases

arxiv: 1312.5474 · arxiv_version: 1312.5474v2 · doi: 10.48550/arxiv.1312.5474 · pith_short_12: B5Q3CNHQSZ2I · pith_short_16: B5Q3CNHQSZ2ILC3I · pith_short_8: B5Q3CNHQ

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/B5Q3CNHQSZ2ILC3IFFDQFSVS67 \
  | 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: 0f61b134f09674858b68294702cab2f7e03cb32dd46144579a9ed0451a77f9fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e65c38c2cece2927a7ef5f1a89ef1ddbd19a71d808074099874b04a0495c3b74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-12-19T10:46:46Z",
    "title_canon_sha256": "cdf5a6450f14c35999f2cff038db7c10330757036b63f5a243305f026ec31a94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5474",
    "kind": "arxiv",
    "version": 2
  }
}