Pith Number

pith:TFPHUZDK

pith:2026:TFPHUZDKIGQCFNQQATO4JW3PPT

not attested not anchored not stored refs pending

The Dual DG Category to Weinstein's symplectic "category" and applications to Geometric Quantization

Jonathan Weitsman

arxiv:2608.09681 v1 · 2026-08-10 · math.SG · math.AG · math.DG · 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{TFPHUZDKIGQCFNQQATO4JW3PPT}

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	2026-08-11T02:24:48.283491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

995e7a646a41a022b61004ddc4db6f7cce12ba2c9c91b14b1081ec136d11c3f3

Aliases

arxiv: 2608.09681 · arxiv_version: 2608.09681v1 · doi: 10.48550/arxiv.2608.09681 · pith_short_12: TFPHUZDKIGQC · pith_short_16: TFPHUZDKIGQCFNQQ · pith_short_8: TFPHUZDK

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/TFPHUZDKIGQCFNQQATO4JW3PPT \
  | 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: 995e7a646a41a022b61004ddc4db6f7cce12ba2c9c91b14b1081ec136d11c3f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68c68c5279f9b07e3b41c71bc8e4d868f7d19a7f60524f5c56bc738cbcb78618",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2026-08-10T14:52:08Z",
    "title_canon_sha256": "eed56457bdbca97d10dae628cbdee4701eed6b967412a19a1e6ba1efb56c77c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09681",
    "kind": "arxiv",
    "version": 1
  }
}