Pith Number

pith:FS2CWCPR

pith:2002:FS2CWCPRIMQTSH3UWFOMBRZTXX

not attested not anchored not stored refs pending

Lectures on Groups of Symplectomorphisms

Dusa McDuff

arxiv:math/0201032 v2 · 2002-01-06 · 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{FS2CWCPRIMQTSH3UWFOMBRZTXX}

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

Boundary framings for locally conformally symplectic four-manifolds

Receipt and verification

First computed	2026-07-04T14:35:50.910510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cb42b09f14321391f74b15cc0c733bdd52ec891ac47378746b05e7fd291e5bf

Aliases

arxiv: math/0201032 · arxiv_version: math/0201032v2 · doi: 10.48550/arxiv.math/0201032 · pith_short_12: FS2CWCPRIMQT · pith_short_16: FS2CWCPRIMQTSH3U · pith_short_8: FS2CWCPR

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/FS2CWCPRIMQTSH3UWFOMBRZTXX \
  | 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: 2cb42b09f14321391f74b15cc0c733bdd52ec891ac47378746b05e7fd291e5bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2830949a98c3697517f31c0ead0a5cc6642867d4a01e2ebee2d93d63183b2e2c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2002-01-06T13:19:50Z",
    "title_canon_sha256": "a510ca465ac268e1db443e87aa656a70a6fcf4b517f2e79c5d03a9f0207d1403"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0201032",
    "kind": "arxiv",
    "version": 2
  }
}