Pith Number

pith:A2JBWS5B

pith:1996:A2JBWS5B6BFFRR7KKIPGAS4ZST

not attested not anchored not stored refs pending

Minkowski Functionals of Abell/ACO Clusters

J.Retzlaff, J.Schmalzing, M.Kerscher, M.Plionis & H.Wagner, S.Borgani, S.Gottl"ober, T.Buchert, V.M"uller

arxiv:astro-ph/9606133 v1 · 1996-06-20 · 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{A2JBWS5B6BFFRR7KKIPGAS4ZST}

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	2026-05-18T01:40:19.828540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06921b4ba1f04a58c7ea521e604b9994ddc8726f315b29f1f5e38e8c40839e10

Aliases

arxiv: astro-ph/9606133 · arxiv_version: astro-ph/9606133v1 · doi: 10.48550/arxiv.astro-ph/9606133 · pith_short_12: A2JBWS5B6BFF · pith_short_16: A2JBWS5B6BFFRR7K · pith_short_8: A2JBWS5B

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/A2JBWS5B6BFFRR7KKIPGAS4ZST \
  | 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: 06921b4ba1f04a58c7ea521e604b9994ddc8726f315b29f1f5e38e8c40839e10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "179f8b9b6850123c9f9dbcb541729890266f4d6bfc58953f8388247e5deb67e8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1996-06-20T18:16:04Z",
    "title_canon_sha256": "8f32b1b27bbfdb31b22105e1a34d62b19ac9904ea6fe6362d9b3cbcec4785e22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9606133",
    "kind": "arxiv",
    "version": 1
  }
}