Pith Number

pith:MS66TCLX

pith:2012:MS66TCLXBRIKMXBQPBU7IJ2WNK

not attested not anchored not stored refs pending

Polynomial entropies for Bott nondegenerate Hamiltonian systems

Cl\'emence Labrousse, Jean-Pierre Marco

arxiv:1207.4937 v1 · 2012-07-20 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MS66TCLXBRIKMXBQPBU7IJ2WNK}

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	2026-05-18T03:50:34.765536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64bde989770c50a65c307869f427566a8eac0fbf69d2544dffcf9b14ad6fd553

Aliases

arxiv: 1207.4937 · arxiv_version: 1207.4937v1 · doi: 10.48550/arxiv.1207.4937 · pith_short_12: MS66TCLXBRIK · pith_short_16: MS66TCLXBRIKMXBQ · pith_short_8: MS66TCLX

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/MS66TCLXBRIKMXBQPBU7IJ2WNK \
  | 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: 64bde989770c50a65c307869f427566a8eac0fbf69d2544dffcf9b14ad6fd553

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d0c11c91741b20784d7ea1bd3d2cd8fed1995a9f42a0952dfeaa3ee062741e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-07-20T12:36:16Z",
    "title_canon_sha256": "695cd93e8f03c42ff2955c6f273eea974ddfd0075f27956552d888c46eb83f4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4937",
    "kind": "arxiv",
    "version": 1
  }
}