Pith Number

pith:VUUV26QR

pith:2016:VUUV26QRGJWIALJPTO6MTRIC3D

not attested not anchored not stored refs pending

Tangent bundle geometry from dynamics: application to the Kepler problem

G. Marmo, J.A. Jover-Galtier, J. Clemente-Gallardo, J. F. Cari\~nena

arxiv:1612.07484 v1 · 2016-12-22 · math-ph · 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{VUUV26QRGJWIALJPTO6MTRIC3D}

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	2026-05-18T00:54:09.929158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad295d7a11326c802d2f9bbcc9c502d8f7447e62a8286fd7ca4e49431aba5968

Aliases

arxiv: 1612.07484 · arxiv_version: 1612.07484v1 · doi: 10.48550/arxiv.1612.07484 · pith_short_12: VUUV26QRGJWI · pith_short_16: VUUV26QRGJWIALJP · pith_short_8: VUUV26QR

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/VUUV26QRGJWIALJPTO6MTRIC3D \
  | 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: ad295d7a11326c802d2f9bbcc9c502d8f7447e62a8286fd7ca4e49431aba5968

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eefc3ea5ae11dd06fc7a31d709c5eb5b2cecdc52e718e4974417ace6afe252c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-22T08:18:10Z",
    "title_canon_sha256": "c73e14a039dea83cb5d8e0d5002ae91d7bcb96a487422d6925399996c49a6a44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07484",
    "kind": "arxiv",
    "version": 1
  }
}