Pith Number

pith:SX3PHAQC

pith:2012:SX3PHAQCCXDPV7VQFZLOQ7ZHY6

not attested not anchored not stored refs pending

The Derived Marsden-Weinstein Quotient is Symplectic

Jeremy Pecharich

arxiv:1205.6519 v1 · 2012-05-29 · math.AG · 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{SX3PHAQCCXDPV7VQFZLOQ7ZHY6}

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.

Cited by

1 paper in Pith

Derived Symplectic Reduction in Differential Geometry

Receipt and verification

First computed	2026-05-18T03:54:38.676015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95f6f3820215c6fafeb02e56e87f27c7b5a32eeebb4989ba1286b719d7ee495f

Aliases

arxiv: 1205.6519 · arxiv_version: 1205.6519v1 · doi: 10.48550/arxiv.1205.6519 · pith_short_12: SX3PHAQCCXDP · pith_short_16: SX3PHAQCCXDPV7VQ · pith_short_8: SX3PHAQC

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/SX3PHAQCCXDPV7VQFZLOQ7ZHY6 \
  | 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: 95f6f3820215c6fafeb02e56e87f27c7b5a32eeebb4989ba1286b719d7ee495f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59d3c21da6fd50657a0642db839c3f01040a827e9a75add8debd136f6ebe71f4",
    "cross_cats_sorted": [
      "math.RT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-05-29T23:52:15Z",
    "title_canon_sha256": "938c46bb4990813203a4a57e5d97b95361a3ba2581a41f610796cb8b491b7169"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6519",
    "kind": "arxiv",
    "version": 1
  }
}