Pith Number

pith:LMYLXFKU

pith:2003:LMYLXFKUI3Y7SQJYH4X5SGCWG4

not attested not anchored not stored refs pending

Topological Sectors and a Dichotomy in Conformal Field Theory

Feng Xu, Roberto Longo

arxiv:math/0309366 v3 · 2003-09-22 · math.OA · hep-th · math-ph · 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{LMYLXFKUI3Y7SQJYH4X5SGCWG4}

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	2026-05-18T04:25:02.227977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b30bb955446f1f941383f2fd9185637075c8980218f82f0691612e15d297b21

Aliases

arxiv: math/0309366 · arxiv_version: math/0309366v3 · doi: 10.48550/arxiv.math/0309366 · pith_short_12: LMYLXFKUI3Y7 · pith_short_16: LMYLXFKUI3Y7SQJY · pith_short_8: LMYLXFKU

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/LMYLXFKUI3Y7SQJYH4X5SGCWG4 \
  | 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: 5b30bb955446f1f941383f2fd9185637075c8980218f82f0691612e15d297b21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db490d2100da29339bc65d278876a8978d7399d4dbb2eea1f769dfe9a8af32d1",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2003-09-22T22:04:02Z",
    "title_canon_sha256": "c558ef47c22be58d5fe4c93473bc687f415758c95580f38c6ede2ad9a5055b66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309366",
    "kind": "arxiv",
    "version": 3
  }
}