Pith Number

pith:7RHYVKDP

pith:2001:7RHYVKDPJFYETRP4S4MACAJLHG

not attested not anchored not stored refs pending

Probability distribution of density fluctuations in the non-linear regime

J. Betancort-Rijo, M. Lopez-Corredoira

arxiv:astro-ph/0110624 v1 · 2001-10-29 · 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{7RHYVKDPJFYETRP4S4MACAJLHG}

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	2026-05-18T01:07:45.352321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc4f8aa86f497049c5fc971801012b39a5dc07de7d507f9a57b3b81cbfab6d0a

Aliases

arxiv: astro-ph/0110624 · arxiv_version: astro-ph/0110624v1 · doi: 10.48550/arxiv.astro-ph/0110624 · pith_short_12: 7RHYVKDPJFYE · pith_short_16: 7RHYVKDPJFYETRP4 · pith_short_8: 7RHYVKDP

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/7RHYVKDPJFYETRP4S4MACAJLHG \
  | 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: fc4f8aa86f497049c5fc971801012b39a5dc07de7d507f9a57b3b81cbfab6d0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9a106cd7d740cf4ae60be84f49f196213bcbc7d2caa3b2a1a9638466554b9d8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-10-29T18:24:07Z",
    "title_canon_sha256": "f95241a34c266b829e4646bc2702d46cf32e08f94986238e999ca667ed80d36f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0110624",
    "kind": "arxiv",
    "version": 1
  }
}