Pith Number

pith:UG7JT6U6

pith:2015:UG7JT6U6IZQVK2NIYD3OVSJAOU

not attested not anchored not stored refs pending

Geometric Invariants for Fusion Categories

Matthew Titsworth, Tobias Hagge

arxiv:1509.03275 v1 · 2015-09-10 · 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{UG7JT6U6IZQVK2NIYD3OVSJAOU}

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	2026-05-18T01:33:24.860768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1be99fa9e46615569a8c0f6eac920750824dde07776650c3e8654275da6c8fa

Aliases

arxiv: 1509.03275 · arxiv_version: 1509.03275v1 · doi: 10.48550/arxiv.1509.03275 · pith_short_12: UG7JT6U6IZQV · pith_short_16: UG7JT6U6IZQVK2NI · pith_short_8: UG7JT6U6

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/UG7JT6U6IZQVK2NIYD3OVSJAOU \
  | 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: a1be99fa9e46615569a8c0f6eac920750824dde07776650c3e8654275da6c8fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32e0164c5593bf81611261aafd9f462d138b9ec2a8583f85625849c0d63903a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-09-10T18:58:49Z",
    "title_canon_sha256": "59ac026bec73031d7b3a1d7d4495d5a3ff425662bea8a4b44d1cae369dda7654"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03275",
    "kind": "arxiv",
    "version": 1
  }
}