Pith Number

pith:CPEBU6PC

pith:2006:CPEBU6PCRGABRHKRF6ZAXIPWYJ

not attested not anchored not stored refs pending

Maximal compact tori in the Hamiltonian groups of 4-dimensional symplectic manifolds

Martin Pinsonnault

arxiv:math/0612565 v1 · 2006-12-19 · 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{CPEBU6PCRGABRHKRF6ZAXIPWYJ}

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	2026-05-18T04:23:33.389104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13c81a79e28980189d512fb20ba1f6c262d3c64c817d9c8ecd1e54c50c073ee1

Aliases

arxiv: math/0612565 · arxiv_version: math/0612565v1 · doi: 10.48550/arxiv.math/0612565 · pith_short_12: CPEBU6PCRGAB · pith_short_16: CPEBU6PCRGABRHKR · pith_short_8: CPEBU6PC

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/CPEBU6PCRGABRHKRF6ZAXIPWYJ \
  | 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: 13c81a79e28980189d512fb20ba1f6c262d3c64c817d9c8ecd1e54c50c073ee1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68e1c7e7d59315ff86d28bd2514f095e609d4c52ab8aa4dcd399ab7bc2b85c45",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2006-12-19T18:33:16Z",
    "title_canon_sha256": "7be4d7cce918b427372b7d66a7bc702fcaa449db58bfb962088b4732aac6c547"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612565",
    "kind": "arxiv",
    "version": 1
  }
}