Pith Number

pith:VXMOT3D5

pith:2007:VXMOT3D5QSTHOFJIRY23N4VLVE

not attested not anchored not stored refs pending

Holomorphic fillability and cohomology

Patrick Popescu-Pampu

arxiv:0711.2941 v2 · 2007-11-19 · math.CV · 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{VXMOT3D5QSTHOFJIRY23N4VLVE}

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	2026-05-18T04:09:04.595788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

add8e9ec7d84a67715288e35b6f2aba914cc36019ef659eccd1a8ba80716559a

Aliases

arxiv: 0711.2941 · arxiv_version: 0711.2941v2 · doi: 10.48550/arxiv.0711.2941 · pith_short_12: VXMOT3D5QSTH · pith_short_16: VXMOT3D5QSTHOFJI · pith_short_8: VXMOT3D5

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/VXMOT3D5QSTHOFJIRY23N4VLVE \
  | 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: add8e9ec7d84a67715288e35b6f2aba914cc36019ef659eccd1a8ba80716559a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a824f7e6ec03b173261a31a842cc9b875d9a8cbaef3a50b28e3daaa5aba833a8",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2007-11-19T14:36:53Z",
    "title_canon_sha256": "aad2a5e0f7e1351effa1e20a297b4c67ba070b3a630866ac6313a8eb27a58c07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.2941",
    "kind": "arxiv",
    "version": 2
  }
}