Pith Number

pith:BGAOPXO7

pith:2003:BGAOPXO7DXHXKS4PVDJLXRR275

not attested not anchored not stored refs pending

Solitons in Affine and Permutation Orbifolds

Feng Xu, Roberto Longo, Victor G. Kac

arxiv:math/0312512 v2 · 2003-12-31 · math.OA · hep-th · math-ph · 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{BGAOPXO7DXHXKS4PVDJLXRR275}

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	2026-05-18T04:25:02.221957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0980e7dddf1dcf754b8fa8d2bbc63aff77579df83f96d1507d8b2a816db1507f

Aliases

arxiv: math/0312512 · arxiv_version: math/0312512v2 · doi: 10.48550/arxiv.math/0312512 · pith_short_12: BGAOPXO7DXHX · pith_short_16: BGAOPXO7DXHXKS4P · pith_short_8: BGAOPXO7

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/BGAOPXO7DXHXKS4PVDJLXRR275 \
  | 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: 0980e7dddf1dcf754b8fa8d2bbc63aff77579df83f96d1507d8b2a816db1507f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9e53221cad7d5f3080a2d3763972264cca0764d444fd9b7cb599302244c2cfa",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2003-12-31T06:14:06Z",
    "title_canon_sha256": "c88be0d7fa79b619e35fea11eb56bd951bb52bbaf2047796970fc05a5b925e53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312512",
    "kind": "arxiv",
    "version": 2
  }
}