Pith Number

pith:YO4EQP53

pith:2000:YO4EQP53DP2B6HTPQ6LHFYSXBJ

not attested not anchored not stored refs pending

Cosmic Mach Number as a Function of Overdensity and Galaxy Age

Jeremiah P. Ostriker, Kentaro Nagamine, Renyue Cen (Princeton University)

arxiv:astro-ph/0010253 v2 · 2000-10-12 · 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{YO4EQP53DP2B6HTPQ6LHFYSXBJ}

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	2026-07-04T16:17:23.175657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3b8483fbb1bf41f1e6f879672e2570a67fa29a5c0a27db1a7e6bc522833b5d7

Aliases

arxiv: astro-ph/0010253 · arxiv_version: astro-ph/0010253v2 · doi: 10.48550/arxiv.astro-ph/0010253 · pith_short_12: YO4EQP53DP2B · pith_short_16: YO4EQP53DP2B6HTP · pith_short_8: YO4EQP53

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/YO4EQP53DP2B6HTPQ6LHFYSXBJ \
  | 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: c3b8483fbb1bf41f1e6f879672e2570a67fa29a5c0a27db1a7e6bc522833b5d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f4a87beae0ee63f3c9dca85988fae36a9daad796b3ab66c74df66f8c1c9dbec",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-10-12T20:50:38Z",
    "title_canon_sha256": "16b04745ad140c62647014492a41eb2a5ef663a7837a1ed08ee39426c0e26f62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0010253",
    "kind": "arxiv",
    "version": 2
  }
}