Pith Number

pith:QYPWYYPY

pith:2001:QYPWYYPYHFRFBHEGWTCBW7JQHD

not attested not anchored not stored refs pending

Dynamical evolution of clusters of galaxies: the effect of high- velocity substructure clumps

2, (2) Feza G\"ursey Institute, 3), (3)Bogazici University, A. Del Popolo (1, Bergamo, E.N. Ercan (3) ((1) Dipartimento di Matematica, Istanbul, Italy, M. Gambera (1), Physics Department, Turkey, Turkey), Universit\`a Statale di Bergamo

arxiv:astro-ph/0112561 v2 · 2001-12-29 · 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{QYPWYYPYHFRFBHEGWTCBW7JQHD}

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	2026-05-18T01:09:10.810964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

861f6c61f83962509c86b4c41b7d3038f4c4313c8a0309ed5ac49bc1ccf25b65

Aliases

arxiv: astro-ph/0112561 · arxiv_version: astro-ph/0112561v2 · doi: 10.48550/arxiv.astro-ph/0112561 · pith_short_12: QYPWYYPYHFRF · pith_short_16: QYPWYYPYHFRFBHEG · pith_short_8: QYPWYYPY

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/QYPWYYPYHFRFBHEGWTCBW7JQHD \
  | 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: 861f6c61f83962509c86b4c41b7d3038f4c4313c8a0309ed5ac49bc1ccf25b65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fb27158b823516d4629ff050aba8bfa96fd80b19a3544ad2fb38db8ab06d114",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-12-29T16:11:34Z",
    "title_canon_sha256": "4474d06e57fe7f8d1f2326a89d5e209d0366bd90714da8b3eea6b574a24a5344"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0112561",
    "kind": "arxiv",
    "version": 2
  }
}