Pith Number

pith:L2XO2NBZ

pith:2011:L2XO2NBZ2P7MQWMPWYSMJN7F6N

not attested not anchored not stored refs pending

Excursion Set Halo Mass Function and Bias in a Stochastic Barrier Model of Ellipsoidal Collapse

I. Achitouv (LUTH, Meudon), P.S. Corasaniti (LUTH

arxiv:1107.1251 v1 · 2011-07-06 · astro-ph.CO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L2XO2NBZ2P7MQWMPWYSMJN7F6N}

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	2026-05-18T04:16:41.849137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eaeed3439d3fec8598fb624c4b7e5f3495c4801543515900bd66ec601f9f186

Aliases

arxiv: 1107.1251 · arxiv_version: 1107.1251v1 · doi: 10.48550/arxiv.1107.1251 · pith_short_12: L2XO2NBZ2P7M · pith_short_16: L2XO2NBZ2P7MQWMP · pith_short_8: L2XO2NBZ

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/L2XO2NBZ2P7MQWMPWYSMJN7F6N \
  | 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: 5eaeed3439d3fec8598fb624c4b7e5f3495c4801543515900bd66ec601f9f186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e4db5613f41c76ff249d3f4d7b238aa5fc59344374168091af5e2a3512fdc7f",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-07-06T20:29:24Z",
    "title_canon_sha256": "f1ba217c92043d0851be944126f113a990f8deb265c8f9747082b5104af0ef16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1251",
    "kind": "arxiv",
    "version": 1
  }
}