Pith Number

pith:QDAS6BZC

pith:2006:QDAS6BZC62K5NJUOOR7EVRU2RF

not attested not anchored not stored refs pending

The fractional Brownian motion and the halo mass function

Jun Pan

arxiv:astro-ph/0610451 v1 · 2006-10-16 · 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{QDAS6BZC62K5NJUOOR7EVRU2RF}

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	2026-07-04T16:59:32.086915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80c12f0722f695d6a68e747e4ac69a8949c2aae51cda7c9e41ab148ea378bfc7

Aliases

arxiv: astro-ph/0610451 · arxiv_version: astro-ph/0610451v1 · doi: 10.48550/arxiv.astro-ph/0610451 · pith_short_12: QDAS6BZC62K5 · pith_short_16: QDAS6BZC62K5NJUO · pith_short_8: QDAS6BZC

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/QDAS6BZC62K5NJUOOR7EVRU2RF \
  | 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: 80c12f0722f695d6a68e747e4ac69a8949c2aae51cda7c9e41ab148ea378bfc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15ba137e7949ffb778affd523a00bbec82ebfd29e2ae955df2e9cbc11b5e2966",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-10-16T05:03:10Z",
    "title_canon_sha256": "57c2cae15ecaed6f22b8b1370f5ce2dea7411378e2d8adb37b6e8a02a05574a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0610451",
    "kind": "arxiv",
    "version": 1
  }
}