Pith Number

pith:2PHCH3SA

pith:2017:2PHCH3SAAZN2D5CHUV437UMJLR

not attested not anchored not stored refs pending

Dynamical Evolution Induced by Planet Nine

Alessandro Morbidelli, Konstantin Batygin

arxiv:1710.01804 v1 · 2017-10-04 · astro-ph.EP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PHCH3SAAZN2D5CHUV437UMJLR}

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	2026-05-18T00:29:28.269576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3ce23ee40065ba1f447a579bfd1895c4b889e033e5b5fab1f6308c4a8f96edd

Aliases

arxiv: 1710.01804 · arxiv_version: 1710.01804v1 · doi: 10.48550/arxiv.1710.01804 · pith_short_12: 2PHCH3SAAZN2 · pith_short_16: 2PHCH3SAAZN2D5CH · pith_short_8: 2PHCH3SA

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/2PHCH3SAAZN2D5CHUV437UMJLR \
  | 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: d3ce23ee40065ba1f447a579bfd1895c4b889e033e5b5fab1f6308c4a8f96edd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e201ae418c0e28db4c107cc4b6fb9963b25948ea6c05c34ad91f6709ba5004c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2017-10-04T21:00:22Z",
    "title_canon_sha256": "ceb415bbde4f3a436426f2cdfd1870ad8eed3e37d61e57053e9862304fe4cbe0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01804",
    "kind": "arxiv",
    "version": 1
  }
}