Pith Number

pith:RP3RPBYT

pith:2024:RP3RPBYTS3BMCWR233U3YVBJIL

not attested not anchored not stored refs pending

The regularity and products in contact geometry

Janusz Grabowski, Katarzyna Grabowska

arxiv:2412.20491 v1 · 2024-12-29 · math.SG · math-ph · math.DG · 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{RP3RPBYTS3BMCWR233U3YVBJIL}

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.

Cited by

1 paper in Pith

Sasaki structures on general contact manifolds

Receipt and verification

First computed	2026-07-05T09:55:17.827016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bf717871396c2c15a3adee9bc542942f7cb182f8119115ecd5cdb756e30b829

Aliases

arxiv: 2412.20491 · arxiv_version: 2412.20491v1 · doi: 10.48550/arxiv.2412.20491 · pith_short_12: RP3RPBYTS3BM · pith_short_16: RP3RPBYTS3BMCWR2 · pith_short_8: RP3RPBYT

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/RP3RPBYTS3BMCWR233U3YVBJIL \
  | 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: 8bf717871396c2c15a3adee9bc542942f7cb182f8119115ecd5cdb756e30b829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c499ff9701ffb25275c807237eebae66e0d3ce2e40535555b41f53e4d84bc27c",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2024-12-29T15:12:52Z",
    "title_canon_sha256": "d134ce0ba9b77e2e9b64c3f22c2ee0aa33bb8a26593c1ebf2bd80b9d257b6c4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20491",
    "kind": "arxiv",
    "version": 1
  }
}