Pith Number

pith:5XPLVBHA

pith:2016:5XPLVBHALJMAB56QJKBFTGWPMX

not attested not anchored not stored refs pending

Lyapunov spectra of Coulombic and gravitational periodic systems

Bruce N. Miller, Pankaj Kumar

arxiv:1605.05780 v1 · 2016-05-18 · nlin.CD · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5XPLVBHALJMAB56QJKBFTGWPMX}

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	2026-05-18T01:14:28.426276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eddeba84e05a5800f7d04a82599acf65c142ade1c7465668c41391a97e048f32

Aliases

arxiv: 1605.05780 · arxiv_version: 1605.05780v1 · doi: 10.48550/arxiv.1605.05780 · pith_short_12: 5XPLVBHALJMA · pith_short_16: 5XPLVBHALJMAB56Q · pith_short_8: 5XPLVBHA

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/5XPLVBHALJMAB56QJKBFTGWPMX \
  | 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: eddeba84e05a5800f7d04a82599acf65c142ade1c7465668c41391a97e048f32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23109c82eb53e8abb1c27767d0f31667360f41250f06ea8e007e711b8905921d",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2016-05-18T23:01:22Z",
    "title_canon_sha256": "bcf698521430046ad845ca891197fcade3ca92628079e9baed7b0adb1ef9dc61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05780",
    "kind": "arxiv",
    "version": 1
  }
}