Pith Number

pith:T6JVDDWC

pith:1996:T6JVDDWCJI5M3O66XTSDJPNGA5

not attested not anchored not stored refs pending

Local angular fractal and galaxy distribution

Yu Shi

arxiv:astro-ph/9612225 v2 · 1996-12-23 · astro-ph · cond-mat

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T6JVDDWCJI5M3O66XTSDJPNGA5}

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	2026-07-04T15:07:38.648586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f93518ec24a3acdbbdebce434bda60746819d0574474fa133f7c347441fd77e

Aliases

arxiv: astro-ph/9612225 · arxiv_version: astro-ph/9612225v2 · doi: 10.48550/arxiv.astro-ph/9612225 · pith_short_12: T6JVDDWCJI5M · pith_short_16: T6JVDDWCJI5M3O66 · pith_short_8: T6JVDDWC

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/T6JVDDWCJI5M3O66XTSDJPNGA5 \
  | 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: 9f93518ec24a3acdbbdebce434bda60746819d0574474fa133f7c347441fd77e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36bcb898db9469cfce2c6703af31da3155f4d9894c91f8fcc5fe5884cd3748c2",
    "cross_cats_sorted": [
      "cond-mat"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1996-12-23T20:16:17Z",
    "title_canon_sha256": "54fc4470dc8a8da56430afaecd4f81679e88582eb6c837fbb2f351940c87ab09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9612225",
    "kind": "arxiv",
    "version": 2
  }
}