Pith Number

pith:T4W5RNDV

pith:2026:T4W5RNDV764N25ERFUTG3GMX7L

not attested not anchored not stored refs pending

Climbing the $N$-point Ladder Part I: Information in the Higher-Order Configuration-Space Clustering of Dark Matter Halos

Cristiano G. Sabiu, Inkyu Park, Sumi Kim

arxiv:2607.09116 v1 · 2026-07-10 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T4W5RNDV764N25ERFUTG3GMX7L}

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	2026-07-13T01:18:43.586953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f2dd8b475ffb8dd74912d266d9997fac948965ae43df347cff099b7f5d17c2c

Aliases

arxiv: 2607.09116 · arxiv_version: 2607.09116v1 · doi: 10.48550/arxiv.2607.09116 · pith_short_12: T4W5RNDV764N · pith_short_16: T4W5RNDV764N25ER · pith_short_8: T4W5RNDV

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/T4W5RNDV764N25ERFUTG3GMX7L \
  | 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: 9f2dd8b475ffb8dd74912d266d9997fac948965ae43df347cff099b7f5d17c2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a45701e68e82d1e4d487586125d35a8b3535bb3cb29ce7592481fd044513e62e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-10T06:01:34Z",
    "title_canon_sha256": "873cc1f1a210e4403a9bf69c2d3995817f5b560f67cef9ba7ed9719e15d9b43c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09116",
    "kind": "arxiv",
    "version": 1
  }
}