Pith Number

pith:2G5IEEVF

pith:1997:2G5IEEVF5IS4TSRBMXEARZSND3

not attested not anchored not stored refs pending

Arc statistics with realistic cluster potentials. IV. Clusters in different cosmologies

Adrian Jenkins (2), Andreas Huss (1), Frazer R. Pearce (2) ((1) MPI fuer Astrophysik, Garching, Germany; (2) Physics Dept., Joerg M. Colberg (1), Matthias Bartelmann (1), UK), University of Durham

arxiv:astro-ph/9707167 v1 · 1997-07-15 · 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{2G5IEEVF5IS4TSRBMXEARZSND3}

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	2026-07-04T14:48:18.454779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1ba8212a5ea25c9ca2165c808e64d1ef0e129646d37f1d03962b0461e65d86d

Aliases

arxiv: astro-ph/9707167 · arxiv_version: astro-ph/9707167v1 · doi: 10.48550/arxiv.astro-ph/9707167 · pith_short_12: 2G5IEEVF5IS4 · pith_short_16: 2G5IEEVF5IS4TSRB · pith_short_8: 2G5IEEVF

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/2G5IEEVF5IS4TSRBMXEARZSND3 \
  | 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: d1ba8212a5ea25c9ca2165c808e64d1ef0e129646d37f1d03962b0461e65d86d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d0e28c1efc26d605f37ec53949811901394f7bd488283bfdfb802108457841b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1997-07-15T13:06:35Z",
    "title_canon_sha256": "88e328fc6f1fe0a29862db3337e821be6807a966a86e644441e3b42f837c7aa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9707167",
    "kind": "arxiv",
    "version": 1
  }
}