Pith Number

pith:KLLLZLTK

pith:2001:KLLLZLTKUAAIK337OFKV5MHXBA

not attested not anchored not stored refs pending

Recent Dynamical Relaxation of Galaxy Clusters: Evidence for a Low-$\Omega_m$ Universe

Adrian L. Melott, Christopher J. Miller (Carnegie Mellon University), Scott W. Chambers (University of Kansas)

arxiv:astro-ph/0108222 v1 · 2001-08-13 · 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{KLLLZLTKUAAIK337OFKV5MHXBA}

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	2026-07-04T16:23:57.789659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52d6bcae6aa000856f7f71555eb0f7083a8cf6584f99e57edf64e418babbd8bc

Aliases

arxiv: astro-ph/0108222 · arxiv_version: astro-ph/0108222v1 · doi: 10.48550/arxiv.astro-ph/0108222 · pith_short_12: KLLLZLTKUAAI · pith_short_16: KLLLZLTKUAAIK337 · pith_short_8: KLLLZLTK

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/KLLLZLTKUAAIK337OFKV5MHXBA \
  | 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: 52d6bcae6aa000856f7f71555eb0f7083a8cf6584f99e57edf64e418babbd8bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a13356c14f3e9bc25c220f58c63de08e0d21b01df916a42c12d23eea42b68092",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-08-13T23:00:19Z",
    "title_canon_sha256": "e57d50d91a54fb0412e8f1e23ffae19e5fbe00c83763ba41dd61333511713076"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0108222",
    "kind": "arxiv",
    "version": 1
  }
}