Pith Number

pith:3MXBUVFW

pith:2026:3MXBUVFW4H75O7P4XLTBGAZPUF

not attested not anchored not stored refs pending

Distant TNO Inclinations as a Constraint on Primordial Cluster Perturbations in the Presence of Planet Nine

Avni Bansal, David Nesvorn\'y, Gabriele Pichierri, Ian Brunton, Konstantin Batygin

arxiv:2607.15646 v1 · 2026-07-17 · 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{3MXBUVFW4H75O7P4XLTBGAZPUF}

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	2026-07-20T01:19:02.037054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db2e1a54b6e1ffd77dfcbae613032fa14402c3c52e6a9276ca963f946ae18b8b

Aliases

arxiv: 2607.15646 · arxiv_version: 2607.15646v1 · doi: 10.48550/arxiv.2607.15646 · pith_short_12: 3MXBUVFW4H75 · pith_short_16: 3MXBUVFW4H75O7P4 · pith_short_8: 3MXBUVFW

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/3MXBUVFW4H75O7P4XLTBGAZPUF \
  | 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: db2e1a54b6e1ffd77dfcbae613032fa14402c3c52e6a9276ca963f946ae18b8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49ecdc965b65eeb850c8ba0107837ac682f415c913c9a0256195985ac08adee2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2026-07-17T05:42:11Z",
    "title_canon_sha256": "483b6ec683f34d79f6f0364a4550857ff89af7c6811290cb4d0ec2aac8bfb8c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15646",
    "kind": "arxiv",
    "version": 1
  }
}