Pith Number

pith:VNRNFTGX

pith:2021:VNRNFTGXD7CLLVKBXZQQONBKMS

not attested not anchored not stored refs pending

An analytical model for tidal evolution in co-orbital systems $\,$I. Application to exoplanets

Alexandre C. M. Correia, J\'er\'emy Couturier, Philippe Robutel

arxiv:2106.10186 v1 · 2021-06-18 · astro-ph.EP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VNRNFTGXD7CLLVKBXZQQONBKMS}

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	2026-07-05T07:07:02.428942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab62d2ccd71fc4b5d541be6107342a64abdcc5bb8187918457419a3eb79616bf

Aliases

arxiv: 2106.10186 · arxiv_version: 2106.10186v1 · doi: 10.48550/arxiv.2106.10186 · pith_short_12: VNRNFTGXD7CL · pith_short_16: VNRNFTGXD7CLLVKB · pith_short_8: VNRNFTGX

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/VNRNFTGXD7CLLVKBXZQQONBKMS \
  | 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: ab62d2ccd71fc4b5d541be6107342a64abdcc5bb8187918457419a3eb79616bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71f7a5a5dc96673ad94cb1ec6cd343a33f94cc18daf133da5807ef646dc93c5d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2021-06-18T15:29:34Z",
    "title_canon_sha256": "0f368b7cd8130e17a0264d85ed55baf8722c246043be06a38e75f488b286df42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.10186",
    "kind": "arxiv",
    "version": 1
  }
}