Pith Number

pith:KQUTIBVI

pith:2003:KQUTIBVIB2KJA4LPEWFQUZB563

not attested not anchored not stored refs pending

Quantization and Morita equivalence for constant Dirac structures on tori

Alan Weinstein, Xiang Tang

arxiv:math/0305413 v1 · 2003-05-29 · math.QA · math.OA · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQUTIBVIB2KJA4LPEWFQUZB563}

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	2026-05-18T01:05:28.842640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54293406a80e9490716f258b0a643df6c6f1857ae2af26308939d42445a0a0a8

Aliases

arxiv: math/0305413 · arxiv_version: math/0305413v1 · doi: 10.48550/arxiv.math/0305413 · pith_short_12: KQUTIBVIB2KJ · pith_short_16: KQUTIBVIB2KJA4LP · pith_short_8: KQUTIBVI

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/KQUTIBVIB2KJA4LPEWFQUZB563 \
  | 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: 54293406a80e9490716f258b0a643df6c6f1857ae2af26308939d42445a0a0a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8caad5f817e3d35492b3fd53a1348afe0f1ded4083e207db37e90a4fd5094d82",
    "cross_cats_sorted": [
      "math.OA",
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2003-05-29T00:16:53Z",
    "title_canon_sha256": "5b920d332597e22360f60cb9d761692d34c3a44df355e71a7ff908542d7ff794"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0305413",
    "kind": "arxiv",
    "version": 1
  }
}