Pith Number

pith:UWBIOQUT

pith:2010:UWBIOQUTN4MXBKYTHBKY6TMKOF

not attested not anchored not stored refs pending

Lyapunov indices with two nearby trajectories in a curved spacetime

Hong Zhang, Tian-Yi Huang, Xin Wu

arxiv:1006.5251 v1 · 2010-06-28 · 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{UWBIOQUTN4MXBKYTHBKY6TMKOF}

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.

Cited by

2 papers in Pith

Time-reversed Shannon entropy as a chaos indicator for non-integrable systems

Astrophysically Realistic Secondary Spins Trigger Chaos in Schwarzschild Spacetime and Discernible Gravitational Wave Signatures

Receipt and verification

First computed	2026-05-18T04:34:46.838904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5828742936f1970ab1338558f4d8a71589f14978c5c9b7b7adc9e4308bbfb26

Aliases

arxiv: 1006.5251 · arxiv_version: 1006.5251v1 · doi: 10.48550/arxiv.1006.5251 · pith_short_12: UWBIOQUTN4MX · pith_short_16: UWBIOQUTN4MXBKYT · pith_short_8: UWBIOQUT

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/UWBIOQUTN4MXBKYTHBKY6TMKOF \
  | 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: a5828742936f1970ab1338558f4d8a71589f14978c5c9b7b7adc9e4308bbfb26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8de9a17e44826ccc7cc892f1533ef1ccbeb61c43d44d34c37d34c2ddf995da5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-06-28T01:23:44Z",
    "title_canon_sha256": "2dae26bde056ea0f10e5113bd50e61285cc5c7420013e0950c697dca7d907093"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5251",
    "kind": "arxiv",
    "version": 1
  }
}