Pith Number

pith:6IBPN3D5

pith:2025:6IBPN3D5ONJS3UM5SXDDVHQ5SA

not attested not anchored not stored refs pending

The Radius, Composition, Albedo, and Absolute Magnitude of Planet Nine Based on Exoplanets with Teq less than 600 K and the Planet Nine Reference Population 3.0

David G. Russell, Terry L. White

arxiv:2507.22297 v1 · 2025-07-30 · 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{6IBPN3D5ONJS3UM5SXDDVHQ5SA}

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	2026-07-05T11:45:19.874433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f202f6ec7d73532dd19d95c63a9e1d901ece26b69904c4822b4b79919d0012a8

Aliases

arxiv: 2507.22297 · arxiv_version: 2507.22297v1 · doi: 10.48550/arxiv.2507.22297 · pith_short_12: 6IBPN3D5ONJS · pith_short_16: 6IBPN3D5ONJS3UM5 · pith_short_8: 6IBPN3D5

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/6IBPN3D5ONJS3UM5SXDDVHQ5SA \
  | 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: f202f6ec7d73532dd19d95c63a9e1d901ece26b69904c4822b4b79919d0012a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42f76fe525edfe9e33cff1f19f0f5590f41d0ef9ce0a53e328d99b465773829d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2025-07-30T00:11:20Z",
    "title_canon_sha256": "d90e6614fb99115fd98a24fc057d94a236023186ee69ef8662b2519eed011fdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.22297",
    "kind": "arxiv",
    "version": 1
  }
}