Pith Number

pith:NRA5IG5K

pith:2002:NRA5IG5KKW34XCLUOCY2LO7NNK

not attested not anchored not stored refs pending

Reproducing the entropy structure in galaxy groups

A. Finoguenov, H. Boehringer, L. Tornatore, S. Borgani

arxiv:astro-ph/0212450 v1 · 2002-12-19 · 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{NRA5IG5KKW34XCLUOCY2LO7NNK}

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	2026-07-04T16:31:26.940572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c41d41baa55b7cb897470b1a5bbed6ab96d5077a89cbe223fb3bb37e554995f

Aliases

arxiv: astro-ph/0212450 · arxiv_version: astro-ph/0212450v1 · doi: 10.48550/arxiv.astro-ph/0212450 · pith_short_12: NRA5IG5KKW34 · pith_short_16: NRA5IG5KKW34XCLU · pith_short_8: NRA5IG5K

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/NRA5IG5KKW34XCLUOCY2LO7NNK \
  | 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: 6c41d41baa55b7cb897470b1a5bbed6ab96d5077a89cbe223fb3bb37e554995f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1e5dd9a9388eaaef62fd73a16eba55f699e7791202a809f3dfb6d5033da44ca",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-12-19T18:14:14Z",
    "title_canon_sha256": "268000381df74687f17de3a83a2a046f6fb88aebb741a83c7f46b57248eabfc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0212450",
    "kind": "arxiv",
    "version": 1
  }
}