Pith Number

pith:TZ5NLW34

pith:2004:TZ5NLW34QIUPQRDIY3KSF2PXPW

not attested not anchored not stored refs pending

Self-Consistent Theory of Halo Mergers

(2) California Institute of Technology, 3) ((1) University of Oxford, (3) Princeton University, Andrew J. Benson (1), Marc Kamionkowski (2), Steven H. Hassani (2, U.K., U.S.A., U.S.A.)

arxiv:astro-ph/0407136 v1 · 2004-07-07 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZ5NLW34QIUPQRDIY3KSF2PXPW}

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.

Cited by

1 paper in Pith

Smoluchowski Coagulation Equation and the Evolution of Primordial Black Hole Clusters

Receipt and verification

First computed	2026-07-04T16:44:15.947911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e7ad5db7c8228f84468c6d522e9f77dbef77643d6f2741d4af1e9cb13101ced

Aliases

arxiv: astro-ph/0407136 · arxiv_version: astro-ph/0407136v1 · doi: 10.48550/arxiv.astro-ph/0407136 · pith_short_12: TZ5NLW34QIUP · pith_short_16: TZ5NLW34QIUPQRDI · pith_short_8: TZ5NLW34

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/TZ5NLW34QIUPQRDIY3KSF2PXPW \
  | 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: 9e7ad5db7c8228f84468c6d522e9f77dbef77643d6f2741d4af1e9cb13101ced

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f0f7c40e940a1202e840bf2267b0175f47adad5e96e23f54a010c2f2caf874c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-07-07T10:51:49Z",
    "title_canon_sha256": "1dbee597a4575f75de415f4f8e119664ebbcf30601470920d03d4faa79d99e83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0407136",
    "kind": "arxiv",
    "version": 1
  }
}