Pith Number

pith:PCEX5AYW

pith:2010:PCEX5AYWUJSBUWCECR64H3GQT5

not attested not anchored not stored refs pending

A property of conformally Hamiltonian vector fields; application to the Kepler problem

Charles-Michel Marle

arxiv:1011.5731 v2 · 2010-11-26 · 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{PCEX5AYWUJSBUWCECR64H3GQT5}

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	2026-05-18T04:28:19.823387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78897e8316a2641a5844147dc3ecd09f594a25e85a5dbb7aa0655abfbd3d124e

Aliases

arxiv: 1011.5731 · arxiv_version: 1011.5731v2 · doi: 10.48550/arxiv.1011.5731 · pith_short_12: PCEX5AYWUJSB · pith_short_16: PCEX5AYWUJSBUWCE · pith_short_8: PCEX5AYW

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/PCEX5AYWUJSBUWCECR64H3GQT5 \
  | 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: 78897e8316a2641a5844147dc3ecd09f594a25e85a5dbb7aa0655abfbd3d124e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7fb0331fd8a22350b9c721ec116975d8eddc4a1275468230ddbc780b0b3ea4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-11-26T08:56:14Z",
    "title_canon_sha256": "bd63d6f4d5487d451b1318826e6045a7abac91a8c88f763b1d36f025d6b30fac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5731",
    "kind": "arxiv",
    "version": 2
  }
}