Pith Number

pith:PCRXZJSE

pith:2010:PCRXZJSELL7ZHTUEAE7IMVMYAF

not attested not anchored not stored refs pending

A supergeometric approach to Poisson reduction

Alberto S. Cattaneo, Marco Zambon

arxiv:1009.0948 v2 · 2010-09-05 · math.SG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCRXZJSELL7ZHTUEAE7IMVMYAF}

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	2026-05-18T02:05:36.582407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78a37ca6445aff93ce84013e865598015bab7a1a1a4fd268214e36beeb75ccff

Aliases

arxiv: 1009.0948 · arxiv_version: 1009.0948v2 · doi: 10.48550/arxiv.1009.0948 · pith_short_12: PCRXZJSELL7Z · pith_short_16: PCRXZJSELL7ZHTUE · pith_short_8: PCRXZJSE

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/PCRXZJSELL7ZHTUEAE7IMVMYAF \
  | 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: 78a37ca6445aff93ce84013e865598015bab7a1a1a4fd268214e36beeb75ccff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37295b426352d61df621c8f58ce2a71508da1da00a70254b9260b8fb663ed72d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-09-05T21:00:20Z",
    "title_canon_sha256": "d80c222804688eaf5e926e72b7abfa78e06d7fd593eb4197eb7dbbb9f08e9d04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0948",
    "kind": "arxiv",
    "version": 2
  }
}