Pith Number

pith:7OJNIDO4

pith:2009:7OJNIDO44BMZSC4YLBLEIRZMMA

not attested not anchored not stored refs pending

Brake subharmonic solutions of first order Hamiltonian systems

Chong Li, Chungen Liu

arxiv:0908.0031 v2 · 2009-08-01 · 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{7OJNIDO44BMZSC4YLBLEIRZMMA}

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	2026-05-18T02:12:45.537108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb92d40ddce059990b98585644472c6024eb7b7f56f98226e25d59e35d6270e7

Aliases

arxiv: 0908.0031 · arxiv_version: 0908.0031v2 · doi: 10.48550/arxiv.0908.0031 · pith_short_12: 7OJNIDO44BMZ · pith_short_16: 7OJNIDO44BMZSC4Y · pith_short_8: 7OJNIDO4

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/7OJNIDO44BMZSC4YLBLEIRZMMA \
  | 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: fb92d40ddce059990b98585644472c6024eb7b7f56f98226e25d59e35d6270e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb49fbeb05cd6caefceb264678828eba60a84aa67e79d08152f1a6f4ab9933a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-08-01T00:17:02Z",
    "title_canon_sha256": "f2b5e968630b4e8c37bf0ceb882039702579973c844d7f973dad9084f35fe672"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0031",
    "kind": "arxiv",
    "version": 2
  }
}