Pith Number

pith:IAPJUA5I

pith:2017:IAPJUA5IB5B5X3RQOB5LCYDAJA

not attested not anchored not stored refs pending

Congruence Subgroups and Super-Modular Categories

Eric C. Rowell, Parsa Bonderson, Qing Zhang, Zhenghan Wang

arxiv:1704.02041 v2 · 2017-04-06 · 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{IAPJUA5IB5B5X3RQOB5LCYDAJA}

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	2026-05-18T00:09:56.083074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

401e9a03a80f43dbee30707ab16060481d1bae624feeefde5df368601e060953

Aliases

arxiv: 1704.02041 · arxiv_version: 1704.02041v2 · doi: 10.48550/arxiv.1704.02041 · pith_short_12: IAPJUA5IB5B5 · pith_short_16: IAPJUA5IB5B5X3RQ · pith_short_8: IAPJUA5I

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/IAPJUA5IB5B5X3RQOB5LCYDAJA \
  | 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: 401e9a03a80f43dbee30707ab16060481d1bae624feeefde5df368601e060953

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f60eb17425e58459e9ddae6987cd059aeb6386ed442c31425b5ff989646378bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2017-04-06T23:00:56Z",
    "title_canon_sha256": "999680c53be60772eef546502475afa71539a108c239a0045a484196d7c70875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02041",
    "kind": "arxiv",
    "version": 2
  }
}