Pith Number

pith:XPAAK3GR

pith:1997:XPAAK3GRSJUJ5VA37RJNHMYHIA

not attested not anchored not stored refs pending

Analytical Approximations to Galaxy Clustering

H.J. Mo (MPA)

arxiv:astro-ph/9702218 v1 · 1997-02-25 · 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{XPAAK3GRSJUJ5VA37RJNHMYHIA}

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	2026-05-18T01:21:56.611695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbc0056cd192689ed41bfc52d3b307403dcbb89935ed69b6b1819c7a8ba948df

Aliases

arxiv: astro-ph/9702218 · arxiv_version: astro-ph/9702218v1 · doi: 10.48550/arxiv.astro-ph/9702218 · pith_short_12: XPAAK3GRSJUJ · pith_short_16: XPAAK3GRSJUJ5VA3 · pith_short_8: XPAAK3GR

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/XPAAK3GRSJUJ5VA37RJNHMYHIA \
  | 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: bbc0056cd192689ed41bfc52d3b307403dcbb89935ed69b6b1819c7a8ba948df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0c9fb71dc99b69fbca17216ba01669c267f672f466dd70b1c957fde67daecb9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1997-02-25T17:19:41Z",
    "title_canon_sha256": "49bf173de93b419fd64503fb3fa06f4f8468f82cfd44de0bb9b9c22c8b3f29a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9702218",
    "kind": "arxiv",
    "version": 1
  }
}