Pith Number

pith:MXCPJPZL

pith:2007:MXCPJPZLXEAIY46OKJRKLSZMHV

not attested not anchored not stored refs pending

The Broadband Spectrum of Galaxy Clusters

Brandon Wolfe, Fulvio Melia

arxiv:0712.0187 v1 · 2007-12-02 · 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{MXCPJPZLXEAIY46OKJRKLSZMHV}

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	2026-05-18T00:05:01.100787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65c4f4bf2bb9008c73ce5262a5cb2c3d57f98a9f4d204add5c1ef94b25e38ab0

Aliases

arxiv: 0712.0187 · arxiv_version: 0712.0187v1 · doi: 10.48550/arxiv.0712.0187 · pith_short_12: MXCPJPZLXEAI · pith_short_16: MXCPJPZLXEAIY46O · pith_short_8: MXCPJPZL

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/MXCPJPZLXEAIY46OKJRKLSZMHV \
  | 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: 65c4f4bf2bb9008c73ce5262a5cb2c3d57f98a9f4d204add5c1ef94b25e38ab0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90e27f4e307cc3942a3cb38f5cdea3f753ddd67e05da2269937ab6282b955835",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-12-02T21:14:30Z",
    "title_canon_sha256": "b369bfcc2becdaa9399375aa9e3f7ae3535680f5ecd512bc29f5c8bdf2623c14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.0187",
    "kind": "arxiv",
    "version": 1
  }
}