Pith Number

pith:URPCYWNH

pith:2018:URPCYWNH3QM5RF7N547YMI323Q

not attested not anchored not stored refs pending

On invariants of Modular categories beyond modular data

Alan Tran, C\'esar Galindo, Colleen Delaney, Eric C. Rowell, Parsa Bonderson, Zhenghan Wang

arxiv:1805.05736 v2 · 2018-05-15 · math.QA · cond-mat.str-el · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{URPCYWNH3QM5RF7N547YMI323Q}

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	2026-05-18T00:12:03.697737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a45e2c59a7dc19d897edef3f86237adc2ab8a669671a13d6b2ed96b0b6341235

Aliases

arxiv: 1805.05736 · arxiv_version: 1805.05736v2 · doi: 10.48550/arxiv.1805.05736 · pith_short_12: URPCYWNH3QM5 · pith_short_16: URPCYWNH3QM5RF7N · pith_short_8: URPCYWNH

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/URPCYWNH3QM5RF7N547YMI323Q \
  | 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: a45e2c59a7dc19d897edef3f86237adc2ab8a669671a13d6b2ed96b0b6341235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6549bc6207ac52eead537035c8c124e55d295a52bc1fda3ca900edf8dd79b0c4",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-05-15T12:49:38Z",
    "title_canon_sha256": "69a0a82665ba2394438bc885c79a5c6d247e91cd8ee7ab1e13bdd08226382e1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05736",
    "kind": "arxiv",
    "version": 2
  }
}