Pith Number

pith:4MKP5Z7D

pith:2021:4MKP5Z7DKJ2FVCB6CB37Y3ZRER

not attested not anchored not stored refs pending

Stability of Neptune's distant resonances in the presence of Planet Nine

Matthew S. Clement, Scott S. Sheppard

arxiv:2105.01065 v2 · 2021-05-03 · 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{4MKP5Z7DKJ2FVCB6CB37Y3ZRER}

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	2026-07-05T02:53:43.349200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e314fee7e352745a883e1077fc6f31245c187f6c6550e30569c6de111ba0b1ea

Aliases

arxiv: 2105.01065 · arxiv_version: 2105.01065v2 · doi: 10.48550/arxiv.2105.01065 · pith_short_12: 4MKP5Z7DKJ2F · pith_short_16: 4MKP5Z7DKJ2FVCB6 · pith_short_8: 4MKP5Z7D

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/4MKP5Z7DKJ2FVCB6CB37Y3ZRER \
  | 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: e314fee7e352745a883e1077fc6f31245c187f6c6550e30569c6de111ba0b1ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bab8f58a3aaeec94a55cc85efcc5e323371b8880e3b4dce5ac4dc6e800249cd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2021-05-03T18:00:00Z",
    "title_canon_sha256": "1ec67f299b57dd3968caca196c95ed1c8a1202def8d12668734d33ab16fa97f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.01065",
    "kind": "arxiv",
    "version": 2
  }
}