Pith Number

pith:ZWKPIUFU

pith:2011:ZWKPIUFUILWM4PD4IO2YB5KSIG

not attested not anchored not stored refs pending

The formation of CDM haloes I: Collapse thresholds and the ellipsoidal collapse model

Aaron D. Ludlow, Bonn, Cristiano Porciani (Argelander Institute for Astronomy, Germany), Mikolaj Borzyszkowski

arxiv:1107.5808 v3 · 2011-07-28 · 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{ZWKPIUFUILWM4PD4IO2YB5KSIG}

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	2026-05-18T02:38:30.116283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd94f450b442ecce3c7c43b580f55241a62d4ede63c1fdd3a1b7a1ad8728bd92

Aliases

arxiv: 1107.5808 · arxiv_version: 1107.5808v3 · doi: 10.48550/arxiv.1107.5808 · pith_short_12: ZWKPIUFUILWM · pith_short_16: ZWKPIUFUILWM4PD4 · pith_short_8: ZWKPIUFU

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/ZWKPIUFUILWM4PD4IO2YB5KSIG \
  | 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: cd94f450b442ecce3c7c43b580f55241a62d4ede63c1fdd3a1b7a1ad8728bd92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cebbcdb49c24f98a8d7b2c7b3cc2e3f0554334a637f517ed54fd9f287b1d05b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-07-28T20:00:02Z",
    "title_canon_sha256": "8d3fd23025a34b76caa5fea232ede8784552c097087c2cd18f5ef3cb1ca44555"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5808",
    "kind": "arxiv",
    "version": 3
  }
}