Pith Number

pith:56A3YXA7

pith:2000:56A3YXA7FC2EPTVGXQUFDDITBQ

not attested not anchored not stored refs pending

The formation of cosmic structure with modified Newtonian dynamics

Groningen, NL), R.H. Sanders (Kapteyn Astronomical Institute

arxiv:astro-ph/0011439 v2 · 2000-11-23 · 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{56A3YXA7FC2EPTVGXQUFDDITBQ}

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	2026-07-04T16:17:39.610637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef81bc5c1f28b447cea6bc28518d130c25c1d1b71b853b69a903f4268c1f1d9a

Aliases

arxiv: astro-ph/0011439 · arxiv_version: astro-ph/0011439v2 · doi: 10.48550/arxiv.astro-ph/0011439 · pith_short_12: 56A3YXA7FC2E · pith_short_16: 56A3YXA7FC2EPTVG · pith_short_8: 56A3YXA7

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/56A3YXA7FC2EPTVGXQUFDDITBQ \
  | 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: ef81bc5c1f28b447cea6bc28518d130c25c1d1b71b853b69a903f4268c1f1d9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a72629053ac30b88ea9ab86124667a7a22729aabf42d0ffcfe37923ea5836cf1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-11-23T14:29:26Z",
    "title_canon_sha256": "361b72b6a616b37eecb46f40af3299ab69706163851b1cd9051d595cce482b08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0011439",
    "kind": "arxiv",
    "version": 2
  }
}