Pith Number

pith:KGCP764J

pith:2015:KGCP764JU74A47V7YKT7TH23K6

not attested not anchored not stored refs pending

Braided categories of endomorphisms as invariants for local quantum field theories

Karl-Henning Rehren, Luca Giorgetti

arxiv:1512.01995 v1 · 2015-12-07 · math.OA · math-ph · math.CT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KGCP764JU74A47V7YKT7TH23K6}

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	2026-05-18T00:18:57.220228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5184fffb89a7f80e7ebfc2a7f99f5b5793555de413d7e4ec999a90b4e23220db

Aliases

arxiv: 1512.01995 · arxiv_version: 1512.01995v1 · doi: 10.48550/arxiv.1512.01995 · pith_short_12: KGCP764JU74A · pith_short_16: KGCP764JU74A47V7 · pith_short_8: KGCP764J

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/KGCP764JU74A47V7YKT7TH23K6 \
  | 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: 5184fffb89a7f80e7ebfc2a7f99f5b5793555de413d7e4ec999a90b4e23220db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5c9611f4add5c0cad14d22d61f0b2b0541185d363b378bdf973f10653ece5d4",
    "cross_cats_sorted": [
      "math-ph",
      "math.CT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-12-07T11:45:13Z",
    "title_canon_sha256": "c52fbbbc1bb7a6b0141cce3ea3cc92a21293947460b6585e66dbd686770c21b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01995",
    "kind": "arxiv",
    "version": 1
  }
}