Pith Number

pith:3I75XIRP

pith:2008:3I75XIRPBSXYWYQ6YDLURV7H2P

not attested not anchored not stored refs pending

Geometric quantization for proper moment maps: the Vergne conjecture

Weiping Zhang (CIM), Xiaonan Ma (IMJ)

arxiv:0812.3989 v2 · 2008-12-20 · math.DG · math.RT · 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{3I75XIRPBSXYWYQ6YDLURV7H2P}

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	2026-05-18T03:45:21.473443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da3fdba22f0caf8b621ec0d748d7e7d3c3f9bb05a9daf9631749be655469f295

Aliases

arxiv: 0812.3989 · arxiv_version: 0812.3989v2 · doi: 10.48550/arxiv.0812.3989 · pith_short_12: 3I75XIRPBSXY · pith_short_16: 3I75XIRPBSXYWYQ6 · pith_short_8: 3I75XIRP

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/3I75XIRPBSXYWYQ6YDLURV7H2P \
  | 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: da3fdba22f0caf8b621ec0d748d7e7d3c3f9bb05a9daf9631749be655469f295

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d3085966501be84b6dea7b0c2becb575a983e6901b03818470102f7b53950ef",
    "cross_cats_sorted": [
      "math.RT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-12-20T18:28:45Z",
    "title_canon_sha256": "12bc05f6e88d6742c646bb9d4afcac813f5e6376a4ed3fbcc7e6ebc8c29630b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3989",
    "kind": "arxiv",
    "version": 2
  }
}