Pith Number

pith:ESR4ZIGG

pith:2014:ESR4ZIGGG7CUNIEF64TNJYXQK5

not attested not anchored not stored refs pending

Actions, angles and frequencies for numerically integrated orbits

James Binney, Jason L. Sanders

arxiv:1401.3600 v3 · 2014-01-15 · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESR4ZIGGG7CUNIEF64TNJYXQK5}

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

1 paper in Pith

Applying Liouville's Theorem to Gaia Data

Receipt and verification

First computed	2026-05-18T01:45:25.292675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24a3cca0c637c546a085f726d4e2f0576f4cc93774a7b956d8fdc3673258f384

Aliases

arxiv: 1401.3600 · arxiv_version: 1401.3600v3 · doi: 10.48550/arxiv.1401.3600 · pith_short_12: ESR4ZIGGG7CU · pith_short_16: ESR4ZIGGG7CUNIEF · pith_short_8: ESR4ZIGG

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/ESR4ZIGGG7CUNIEF64TNJYXQK5 \
  | 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: 24a3cca0c637c546a085f726d4e2f0576f4cc93774a7b956d8fdc3673258f384

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a05be9f224f50294b22ebe2391f3a17cfb1ec42ea363a915d0dde273238d3a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2014-01-15T14:13:30Z",
    "title_canon_sha256": "0a6dd3d95d726eb67a472197039df88cbbeff277a9d2231da62445afa6a53e8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3600",
    "kind": "arxiv",
    "version": 3
  }
}