Pith Number

pith:PRUFCHEM

pith:1997:PRUFCHEMMHOO5UIHWROUVVA2DV

not attested not anchored not stored refs pending

The Space Density of Galaxy Peaks and the Linear Matter Power Spectrum

Enrique Gaztanaga (CSIC, Institut d'Estudis Espacials de Catalunya), Rupert A. C. Croft (Ohio State)

arxiv:astro-ph/9701163 v1 · 1997-01-22 · 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{PRUFCHEMMHOO5UIHWROUVVA2DV}

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	2026-05-18T01:07:40.245348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c68511c8c61dceed107b45d4ad41a1d7d76f5197fa25b6bcd2c7b8fd91cd498

Aliases

arxiv: astro-ph/9701163 · arxiv_version: astro-ph/9701163v1 · doi: 10.48550/arxiv.astro-ph/9701163 · pith_short_12: PRUFCHEMMHOO · pith_short_16: PRUFCHEMMHOO5UIH · pith_short_8: PRUFCHEM

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/PRUFCHEMMHOO5UIHWROUVVA2DV \
  | 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: 7c68511c8c61dceed107b45d4ad41a1d7d76f5197fa25b6bcd2c7b8fd91cd498

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b9d29cb485eae834959e0904115ff16e448b0b6936f32553f1199c9737ea033",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1997-01-22T11:38:00Z",
    "title_canon_sha256": "490ba2b21881803738b694b6f6790f3da068546e668d7c4fffd8ad440a24392e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9701163",
    "kind": "arxiv",
    "version": 1
  }
}