Pith Number

pith:H6H7AJKI

pith:2000:H6H7AJKI33CEUU5L7DTF3ROFRY

not attested not anchored not stored refs pending

The Cosmological Mass Function in the Zel'dovich Approximation

Sergei F. Shandarin

arxiv:astro-ph/0007476 v1 · 2000-07-31 · 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{H6H7AJKI33CEUU5L7DTF3ROFRY}

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	2026-05-18T01:40:47.452733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f8ff02548dec44a53abf8e65dc5c58e046e9eefea3d1f276675b0ac51d9182b

Aliases

arxiv: astro-ph/0007476 · arxiv_version: astro-ph/0007476v1 · doi: 10.48550/arxiv.astro-ph/0007476 · pith_short_12: H6H7AJKI33CE · pith_short_16: H6H7AJKI33CEUU5L · pith_short_8: H6H7AJKI

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/H6H7AJKI33CEUU5L7DTF3ROFRY \
  | 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: 3f8ff02548dec44a53abf8e65dc5c58e046e9eefea3d1f276675b0ac51d9182b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03ee048647d97f0adce310f05e5588c51ed332b37fd79b80f171d6cdc941fc2c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-07-31T21:25:37Z",
    "title_canon_sha256": "3cc1e8d4f5462bc58f3846f351e5c915a471133d6d0f6b1b6dd7e27257e87811"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0007476",
    "kind": "arxiv",
    "version": 1
  }
}