Pith Number

pith:GRG4ZZ6S

pith:2011:GRG4ZZ6STWRBLB3QD6R4T5KK2D

not attested not anchored not stored refs pending

Tidal evolution of hierarchical and inclined systems

Alexandre C.M. Correia, Fran\c{c}ois Farago, Gwena\"el Bou\'e, Jacques Laskar

arxiv:1107.0736 v1 · 2011-07-04 · astro-ph.EP · astro-ph.SR · math.DS · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRG4ZZ6STWRBLB3QD6R4T5KK2D}

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	2026-05-18T04:18:52.759218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

344dcce7d29da21587701fa3c9f54ad0da5dc24867a23e452608756ba700e89f

Aliases

arxiv: 1107.0736 · arxiv_version: 1107.0736v1 · doi: 10.48550/arxiv.1107.0736 · pith_short_12: GRG4ZZ6STWRB · pith_short_16: GRG4ZZ6STWRBLB3Q · pith_short_8: GRG4ZZ6S

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/GRG4ZZ6STWRBLB3QD6R4T5KK2D \
  | 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: 344dcce7d29da21587701fa3c9f54ad0da5dc24867a23e452608756ba700e89f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3872f0f0e7c40e870f65c99e0cc3d48753ed6713a369568cf3ea9c931cc3effd",
    "cross_cats_sorted": [
      "astro-ph.SR",
      "math.DS",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2011-07-04T20:13:54Z",
    "title_canon_sha256": "2fa0fb0acecf9a2fb8af409437c7972315cf7e6830d4263a2d91f2c989233cc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0736",
    "kind": "arxiv",
    "version": 1
  }
}