Pith Number

pith:VZNAG6HY

pith:2013:VZNAG6HY3ZTY757NQFSCIVKWAN

not attested not anchored not stored refs pending

The virialization density of peaks with general density profiles under spherical collapse

Abraham Loeb, Douglas Rubin

arxiv:1311.5594 v1 · 2013-11-21 · 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{VZNAG6HY3ZTY757NQFSCIVKWAN}

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	2026-05-18T01:46:07.081107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae5a0378f8de678ff7ed8164245556035bb773af96c19637c74438f2754911f9

Aliases

arxiv: 1311.5594 · arxiv_version: 1311.5594v1 · doi: 10.48550/arxiv.1311.5594 · pith_short_12: VZNAG6HY3ZTY · pith_short_16: VZNAG6HY3ZTY757N · pith_short_8: VZNAG6HY

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/VZNAG6HY3ZTY757NQFSCIVKWAN \
  | 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: ae5a0378f8de678ff7ed8164245556035bb773af96c19637c74438f2754911f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ed9b460812af2a84eab935343925bcffd221d1a058b4401e05894e07353df93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-11-21T21:56:17Z",
    "title_canon_sha256": "cc6233b4306c3e2ec62e77bf398b03c30ddaffb23da92acab7e3d67247070158"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5594",
    "kind": "arxiv",
    "version": 1
  }
}