Pith Number

pith:PL3VEFL6

pith:2003:PL3VEFL6OMAQZO2V45J63D32Y7

not attested not anchored not stored refs pending

Trigonometric Degeneration and Orbifold Wess-Zumino-Witten Model. I

Takashi Takebe

arxiv:math/0302170 v3 · 2003-02-14 · math.QA · 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{PL3VEFL6OMAQZO2V45J63D32Y7}

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	2026-05-18T00:52:09.795129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7af752157e73010cbb55e753ed8f7ac7fb349937dde42dfd37c8e01ede3f67ef

Aliases

arxiv: math/0302170 · arxiv_version: math/0302170v3 · doi: 10.48550/arxiv.math/0302170 · pith_short_12: PL3VEFL6OMAQ · pith_short_16: PL3VEFL6OMAQZO2V · pith_short_8: PL3VEFL6

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/PL3VEFL6OMAQZO2V45J63D32Y7 \
  | 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: 7af752157e73010cbb55e753ed8f7ac7fb349937dde42dfd37c8e01ede3f67ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "591008512fd67159cc01991f1e642424af2a1ebe45f44ce9ded1f4c6eb5b0e47",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2003-02-14T14:24:44Z",
    "title_canon_sha256": "f8239cf022a7f05748caa0667692def5078c317a4f0e9cc7fd1daab412fcc310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0302170",
    "kind": "arxiv",
    "version": 3
  }
}