Pith Number

pith:Y2PGQQUI

pith:2015:Y2PGQQUIOLIKCMJJWBOTGYBHFL

not attested not anchored not stored refs pending

Remarks on Contact and Jacobi Geometry

Andrew James Bruce, Janusz Grabowski, Katarzyna Grabowska

arxiv:1507.05405 v3 · 2015-07-20 · 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{Y2PGQQUIOLIKCMJJWBOTGYBHFL}

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	2026-05-18T00:39:29.241657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c69e68428872d0a13129b05d3360272aeaff29ed405f26a581a859d1a2042b01

Aliases

arxiv: 1507.05405 · arxiv_version: 1507.05405v3 · doi: 10.48550/arxiv.1507.05405 · pith_short_12: Y2PGQQUIOLIK · pith_short_16: Y2PGQQUIOLIKCMJJ · pith_short_8: Y2PGQQUI

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/Y2PGQQUIOLIKCMJJWBOTGYBHFL \
  | 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: c69e68428872d0a13129b05d3360272aeaff29ed405f26a581a859d1a2042b01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc769b84356554940a56d8163e9a18676a44490d4682c634597b6f1a496aecc8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-07-20T07:46:13Z",
    "title_canon_sha256": "807ec1eca50d7bbc4d2e4ecfafe99c548a4e394e9e76783477dd460b431aad80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05405",
    "kind": "arxiv",
    "version": 3
  }
}