Pith Number

pith:ENXO4CNF

pith:2016:ENXO4CNFKM7TDUMOOGIBFP2HCK

not attested not anchored not stored refs pending

Subgroup correspondences

John Quigg, Nadia S. Larsen, S. Kaliszewski

arxiv:1612.04243 v3 · 2016-12-13 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ENXO4CNFKM7TDUMOOGIBFP2HCK}

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	2026-05-18T00:25:34.746629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

236eee09a5533f31d18e719012bf47128d0c033732dab7f292006b05c9d89f44

Aliases

arxiv: 1612.04243 · arxiv_version: 1612.04243v3 · doi: 10.48550/arxiv.1612.04243 · pith_short_12: ENXO4CNFKM7T · pith_short_16: ENXO4CNFKM7TDUMO · pith_short_8: ENXO4CNF

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/ENXO4CNFKM7TDUMOOGIBFP2HCK \
  | 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: 236eee09a5533f31d18e719012bf47128d0c033732dab7f292006b05c9d89f44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f75a2ae70513361b6b66a5baee3be72a3e143aa7d05a00d16b158c2738ea4d0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-12-13T15:54:44Z",
    "title_canon_sha256": "86ba78919922ffc76e8752c6f1b16dde229bb9d2441944e8010bd325bcd85b1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04243",
    "kind": "arxiv",
    "version": 3
  }
}