Pith Number

pith:M6T54OOI

pith:1996:M6T54OOIJAGRAVMIVSF5EUPE5I

not attested not anchored not stored refs pending

The Dynamical Equilibrium of Galaxy Clusters

Abraham, Carlberg, Ellingson, Gravel, Hartwick, Hesser, Hutchings, Morris, Oke, Pritchet, Smecker-Hane, Yee

arxiv:astro-ph/9611204 v1 · 1996-11-25 · 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{M6T54OOIJAGRAVMIVSF5EUPE5I}

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	2026-05-18T01:07:40.495133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67a7de39c8480d105588ac8bd251e4ea0f67ddacd6df939902fd11a77e8f140d

Aliases

arxiv: astro-ph/9611204 · arxiv_version: astro-ph/9611204v1 · doi: 10.48550/arxiv.astro-ph/9611204 · pith_short_12: M6T54OOIJAGR · pith_short_16: M6T54OOIJAGRAVMI · pith_short_8: M6T54OOI

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/M6T54OOIJAGRAVMIVSF5EUPE5I \
  | 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: 67a7de39c8480d105588ac8bd251e4ea0f67ddacd6df939902fd11a77e8f140d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56d1f0bb0eba76bb6918e212213ce33bea2684c9b2233e6b551382546fed9a19",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1996-11-25T14:25:26Z",
    "title_canon_sha256": "f91e4c8f7003d17ec977652eb8b7c12266d8fcdd278d211e5720d8ee85ff7b42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9611204",
    "kind": "arxiv",
    "version": 1
  }
}