Pith Number

pith:QP33ZJVD

pith:2017:QP33ZJVDMLY2RWFQ6UMIDDWCM5

not attested not anchored not stored refs pending

Calculation of the critical overdensity in the spherical-collapse approximation

D. Herrera, I. Waga, S.E. Jor\'as

arxiv:1703.05824 v1 · 2017-03-16 · 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{QP33ZJVDMLY2RWFQ6UMIDDWCM5}

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

Cosmological zoom-in perturbation theory as a consistent beyond point-particle approximation framework

Receipt and verification

First computed	2026-05-18T00:48:14.084196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83f7bca6a362f1a8d8b0f518818ec2677f7bf0e52fae91c1983234d2280459ff

Aliases

arxiv: 1703.05824 · arxiv_version: 1703.05824v1 · doi: 10.48550/arxiv.1703.05824 · pith_short_12: QP33ZJVDMLY2 · pith_short_16: QP33ZJVDMLY2RWFQ · pith_short_8: QP33ZJVD

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/QP33ZJVDMLY2RWFQ6UMIDDWCM5 \
  | 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: 83f7bca6a362f1a8d8b0f518818ec2677f7bf0e52fae91c1983234d2280459ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45001ff58d06f9c49e7ed6041f290fea7681d7192cb4620d1728e1e0a80d53e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2017-03-16T21:16:45Z",
    "title_canon_sha256": "527b1e1a0b019ea83f21137be9d440dd2cf7b37362479e2eb64361f242928c46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05824",
    "kind": "arxiv",
    "version": 1
  }
}