Pith Number

pith:4F6II5KK

pith:2006:4F6II5KKVRSL757Y5EFQ7YYWZN

not attested not anchored not stored refs pending

Can Cosmic Structure form without Dark Matter?

Michele Liguori, Scott Dodelson

arxiv:astro-ph/0608602 v1 · 2006-08-29 · 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{4F6II5KKVRSL757Y5EFQ7YYWZN}

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.

Cited by

1 paper in Pith

Investigating Dark Matter and MOND Models with Galactic Rotation Curve Data: Analysing the Gas-Dominated Galaxies

Receipt and verification

First computed	2026-07-04T15:25:52.137573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e17c84754aac64bff7f8e90b0fe316cb7a797ec1f2fdcd31c2019f908f70625d

Aliases

arxiv: astro-ph/0608602 · arxiv_version: astro-ph/0608602v1 · doi: 10.48550/arxiv.astro-ph/0608602 · pith_short_12: 4F6II5KKVRSL · pith_short_16: 4F6II5KKVRSL757Y · pith_short_8: 4F6II5KK

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/4F6II5KKVRSL757Y5EFQ7YYWZN \
  | 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: e17c84754aac64bff7f8e90b0fe316cb7a797ec1f2fdcd31c2019f908f70625d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d77eb0507231d5b821a96688d9ce368b124bda47600ac6f0327014f15270bb0a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-08-29T18:11:40Z",
    "title_canon_sha256": "082c9d26d2e79427dabbf5beeda7b174b1c7886be32076bb3e0bc12351c36e7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0608602",
    "kind": "arxiv",
    "version": 1
  }
}