Pith Number

pith:DSOR53LC

pith:2015:DSOR53LCMDDQBWYDAHI3LIQM44

not attested not anchored not stored refs pending

Formality and the Lefschetz property in symplectic and cosymplectic geometry

Giovanni Bazzoni, Marisa Fern\'andez, Vicente Mu\~noz

arxiv:1504.02451 v1 · 2015-04-09 · math.SG · math.AT · 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{DSOR53LCMDDQBWYDAHI3LIQM44}

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	2026-05-18T02:19:08.844940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c9d1eed6260c700db0301d1b5a20ce70523fca466d3a7501d3a2d86c1058e37

Aliases

arxiv: 1504.02451 · arxiv_version: 1504.02451v1 · doi: 10.48550/arxiv.1504.02451 · pith_short_12: DSOR53LCMDDQ · pith_short_16: DSOR53LCMDDQBWYD · pith_short_8: DSOR53LC

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/DSOR53LCMDDQBWYDAHI3LIQM44 \
  | 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: 1c9d1eed6260c700db0301d1b5a20ce70523fca466d3a7501d3a2d86c1058e37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b42e5d01753f02288911b2b1b29f0ce9026c1e5d67afa00abcb814ab73a5e03",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-04-09T19:41:38Z",
    "title_canon_sha256": "7d1f295e6213b7bfcbb362dd11f978f47f0e0595b9e3d1a1d1f13e5fa3a9a6d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02451",
    "kind": "arxiv",
    "version": 1
  }
}