Pith Number

pith:Q4RRTL4S

pith:2007:Q4RRTL4SBWHC5GU5JGL3I3X7CV

not attested not anchored not stored refs pending

3-Sasakian manifolds, 3-cosymplectic manifolds and Darboux theorem

Antonio De Nicola, Beniamino Cappelletti Montano

arxiv:math/0703219 v5 · 2007-03-08 · math.DG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4RRTL4SBWHC5GU5JGL3I3X7CV}

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	2026-05-18T04:08:52.865988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

872319af920d8e2e9a9d4997b46eff15794f1a7a8d942587c618d20aef837a9a

Aliases

arxiv: math/0703219 · arxiv_version: math/0703219v5 · doi: 10.48550/arxiv.math/0703219 · pith_short_12: Q4RRTL4SBWHC · pith_short_16: Q4RRTL4SBWHC5GU5 · pith_short_8: Q4RRTL4S

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/Q4RRTL4SBWHC5GU5JGL3I3X7CV \
  | 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: 872319af920d8e2e9a9d4997b46eff15794f1a7a8d942587c618d20aef837a9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eddd52597b578ae632c2de4066a5115056089a72b0a972d1f36b95d71eb31ec1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-03-08T10:35:28Z",
    "title_canon_sha256": "0a00a1416c4373ee3375a5cb91ffe983fe813769026d79fd107d83b179949f41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703219",
    "kind": "arxiv",
    "version": 5
  }
}