Pith Number

pith:3X454CDF

pith:2015:3X454CDFBGT3XYSJRBYCDCXFZ6

not attested not anchored not stored refs pending

On classification of modular categories by rank

Eric C. Rowell, Paul Bruillard, Siu-Hung Ng, Zhenghan Wang

arxiv:1507.05139 v2 · 2015-07-18 · 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{3X454CDFBGT3XYSJRBYCDCXFZ6}

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	2026-05-18T01:18:44.092122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddf9de086509a7bbe2498870218ae5cf92fc8302f9fe0b72fc04cfcbd8d61d3d

Aliases

arxiv: 1507.05139 · arxiv_version: 1507.05139v2 · doi: 10.48550/arxiv.1507.05139 · pith_short_12: 3X454CDFBGT3 · pith_short_16: 3X454CDFBGT3XYSJ · pith_short_8: 3X454CDF

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/3X454CDFBGT3XYSJRBYCDCXFZ6 \
  | 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: ddf9de086509a7bbe2498870218ae5cf92fc8302f9fe0b72fc04cfcbd8d61d3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bda5bcb7e5a3229f8af15e463ad20caa76e3dbe9ef55ebc388df3492c7b4dde1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-07-18T02:10:16Z",
    "title_canon_sha256": "ec7baca0b98fc461a39b585d308780339d019c40b7b818104717d62f406d8e01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05139",
    "kind": "arxiv",
    "version": 2
  }
}