Pith Number

pith:WV3XPQAX

pith:2007:WV3XPQAXUUVFVDWYTG5OHECKXE

not attested not anchored not stored refs pending

Quasi-Hamiltonian quotients as disjoint unions of symplectic manifolds

Florent Schaffhauser

arxiv:math/0701905 v3 · 2007-01-31 · 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{WV3XPQAXUUVFVDWYTG5OHECKXE}

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	2026-05-18T00:36:53.313289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b57777c017a52a5a8ed899bae3904ab93363005479b374d89806f5e791eb8b5d

Aliases

arxiv: math/0701905 · arxiv_version: math/0701905v3 · doi: 10.48550/arxiv.math/0701905 · pith_short_12: WV3XPQAXUUVF · pith_short_16: WV3XPQAXUUVFVDWY · pith_short_8: WV3XPQAX

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/WV3XPQAXUUVFVDWYTG5OHECKXE \
  | 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: b57777c017a52a5a8ed899bae3904ab93363005479b374d89806f5e791eb8b5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47d04b47d298f6496c73232f846529df47238acbf9e6f3402b4d020a25e9157f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2007-01-31T02:48:58Z",
    "title_canon_sha256": "4eeadd16b0546f066323d94b27cb9a9f15d311331ce5a601d184535be5885251"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701905",
    "kind": "arxiv",
    "version": 3
  }
}