Pith Number

pith:5NQ3PNFS

pith:2010:5NQ3PNFSEPXEPIXPMTPPPAFIAF

not attested not anchored not stored refs pending

Wheels within wheels: Hamiltonian dynamics as a hierarchy of action variables

Paul M. Bellan, Rory J. Perkins

arxiv:1008.1379 v1 · 2010-08-08 · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5NQ3PNFSEPXEPIXPMTPPPAFIAF}

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	2026-05-18T02:05:58.019236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb61b7b4b223ee47a2ef64def780a801622ccdec65779a54a13156524995f610

Aliases

arxiv: 1008.1379 · arxiv_version: 1008.1379v1 · doi: 10.48550/arxiv.1008.1379 · pith_short_12: 5NQ3PNFSEPXE · pith_short_16: 5NQ3PNFSEPXEPIXP · pith_short_8: 5NQ3PNFS

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/5NQ3PNFSEPXEPIXPMTPPPAFIAF \
  | 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: eb61b7b4b223ee47a2ef64def780a801622ccdec65779a54a13156524995f610

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6b5f8b827e5eba65c9526aaadf74fd2242e9a7a0cc983a4736aa2e521267aac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2010-08-08T04:14:50Z",
    "title_canon_sha256": "c671b9b208bd1e51fb1adbbe43ed2cb15eb594497999dd085c72e099a23de952"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1379",
    "kind": "arxiv",
    "version": 1
  }
}