Pith Number

pith:DGD56U5T

pith:2001:DGD56U5TMK52JVCOCNM7OZYWZV

not attested not anchored not stored refs pending

Modular categories and orbifold models II

Alexander Kirillov Jr

arxiv:math/0110221 v1 · 2001-10-19 · math.QA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DGD56U5TMK52JVCOCNM7OZYWZV}

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.

Cited by

1 paper in Pith

Hypergroup Symmetry in Relative Quantum Field Theories and Chiral Algebras

Receipt and verification

First computed	2026-07-04T14:35:34.884956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1987df53b362bba4d44e1359f76716cd604c090ec636784953888ef4702bebfc

Aliases

arxiv: math/0110221 · arxiv_version: math/0110221v1 · doi: 10.48550/arxiv.math/0110221 · pith_short_12: DGD56U5TMK52 · pith_short_16: DGD56U5TMK52JVCO · pith_short_8: DGD56U5T

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/DGD56U5TMK52JVCOCNM7OZYWZV \
  | 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: 1987df53b362bba4d44e1359f76716cd604c090ec636784953888ef4702bebfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6d4adc5685dd189940eb03901b47b00759be35d6c32ef16e126fe6a76e960c7",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2001-10-19T18:39:42Z",
    "title_canon_sha256": "39dd4f0e28317e7ec254a99cb28d6a7c2ae812a3e4c328357c554c03b844cbd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0110221",
    "kind": "arxiv",
    "version": 1
  }
}