Pith Number

pith:5U2WUOU5

pith:2025:5U2WUOU5UP5BXJ6WRKBHVCWUPT

not attested not anchored not stored refs pending

On the Higher Categorical Structure of Topological Defects in Quantum Field Theories

Lukas M\"uller

arxiv:2505.04761 v1 · 2025-05-07 · math-ph · hep-th · math.AT · math.CT · math.MP · 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{5U2WUOU5UP5BXJ6WRKBHVCWUPT}

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	2026-07-05T11:00:13.318058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed356a3a9da3fa1ba7d68a827a8ad47ce572b72147394b769c2adfdc4297509b

Aliases

arxiv: 2505.04761 · arxiv_version: 2505.04761v1 · doi: 10.48550/arxiv.2505.04761 · pith_short_12: 5U2WUOU5UP5B · pith_short_16: 5U2WUOU5UP5BXJ6W · pith_short_8: 5U2WUOU5

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/5U2WUOU5UP5BXJ6WRKBHVCWUPT \
  | 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: ed356a3a9da3fa1ba7d68a827a8ad47ce572b72147394b769c2adfdc4297509b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "786f707e47ab935dbfcfa9072cd3ae451f6beda206e5c2fc718905c6c14ecb86",
    "cross_cats_sorted": [
      "hep-th",
      "math.AT",
      "math.CT",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-05-07T19:39:42Z",
    "title_canon_sha256": "66c1efa934676ff029861d98401d0e9def068e323a3d39f1630ec2dfe138ae12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.04761",
    "kind": "arxiv",
    "version": 1
  }
}