Pith Number

pith:2JNJKFTN

pith:2026:2JNJKFTNHNUOQFQ3LBMREJNZ7C

not attested not anchored not stored refs pending

\"Opik-type collision frequency for Kozai-driven projectiles: Target bodies on inclined circular orbits

Junhai Huang, XiaoDong Liu, Youpeng Liang

arxiv:2608.00980 v1 · 2026-08-02 · 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{2JNJKFTNHNUOQFQ3LBMREJNZ7C}

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	2026-08-04T01:56:09.591751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d25a95166d3b68e8161b58591225b9f8bc7aeec5d61f3ead0121dc42bdb91f07

Aliases

arxiv: 2608.00980 · arxiv_version: 2608.00980v1 · doi: 10.48550/arxiv.2608.00980 · pith_short_12: 2JNJKFTNHNUO · pith_short_16: 2JNJKFTNHNUOQFQ3 · pith_short_8: 2JNJKFTN

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/2JNJKFTNHNUOQFQ3LBMREJNZ7C \
  | 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: d25a95166d3b68e8161b58591225b9f8bc7aeec5d61f3ead0121dc42bdb91f07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f77a104011d2290a298bfd7ca9842c8e039b8187681241ad7166264ca857468b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2026-08-02T04:12:08Z",
    "title_canon_sha256": "3c34e010a4228bfb4a57aad761a7053dc37b1bfc73238ff5d10a8c2f7d6f964d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00980",
    "kind": "arxiv",
    "version": 1
  }
}