Pith Number

pith:6E6H6VO3

pith:2024:6E6H6VO3IHJ4YMULS75W32JEIE

not attested not anchored not stored refs pending

Sasaki structures on general contact manifolds

Janusz Grabowski, Katarzyna Grabowska, Rouzbeh Mohseni

arxiv:2412.16697 v4 · 2024-12-21 · math.DG · math-ph · math.MP · 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{6E6H6VO3IHJ4YMULS75W32JEIE}

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	2026-05-27T02:05:01.440448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f13c7f55db41d3cc328b97fb6de924410a1ac7aacffe6073dc8db515444706a7

Aliases

arxiv: 2412.16697 · arxiv_version: 2412.16697v4 · doi: 10.48550/arxiv.2412.16697 · pith_short_12: 6E6H6VO3IHJ4 · pith_short_16: 6E6H6VO3IHJ4YMUL · pith_short_8: 6E6H6VO3

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/6E6H6VO3IHJ4YMULS75W32JEIE \
  | 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: f13c7f55db41d3cc328b97fb6de924410a1ac7aacffe6073dc8db515444706a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e99530afea4502853790ecfb88bf86d2d226a908dc0f6345d753a29dd9b8c36",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-12-21T16:52:32Z",
    "title_canon_sha256": "c87835bf8653263a38284b2d48c5052d2069dea3ba39eba737bafb6460342492"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.16697",
    "kind": "arxiv",
    "version": 4
  }
}