Pith Number

pith:BNRGE3DW

pith:2014:BNRGE3DWEFBIZ56Q27I7VX4EIX

not attested not anchored not stored refs pending

Subfactors of index exactly 5

David Penneys, Emily Peters, Masaki Izumi, Noah Snyder, Scott Morrison

arxiv:1406.2389 v1 · 2014-06-09 · math.OA · 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{BNRGE3DWEFBIZ56Q27I7VX4EIX}

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	2026-05-18T01:34:13.504979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b62626c7621428cf7d0d7d1fadf8445d2b5248580e9d29f1d3bcd78e41c54f9

Aliases

arxiv: 1406.2389 · arxiv_version: 1406.2389v1 · doi: 10.48550/arxiv.1406.2389 · pith_short_12: BNRGE3DWEFBI · pith_short_16: BNRGE3DWEFBIZ56Q · pith_short_8: BNRGE3DW

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/BNRGE3DWEFBIZ56Q27I7VX4EIX \
  | 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: 0b62626c7621428cf7d0d7d1fadf8445d2b5248580e9d29f1d3bcd78e41c54f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95c74e642e5d65ff3be8b2114fd86d225c5e4631cd5a8d810103b57fb942e906",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-06-09T23:48:00Z",
    "title_canon_sha256": "4cb4484a15def724e898fa24beabb1ac403564986e1589d942a5e4a01510a0b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2389",
    "kind": "arxiv",
    "version": 1
  }
}