Pith Number

pith:2JXJ3FND

pith:2005:2JXJ3FND7HARYMXL5V4CZDR2E5

not attested not anchored not stored refs pending

Covariant Kinetic Theory with an Application to the Coma Cluster

Brandon Wolfe, Fulvio Melia

arxiv:astro-ph/0505041 v1 · 2005-05-02 · 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{2JXJ3FND7HARYMXL5V4CZDR2E5}

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	2026-07-04T16:52:18.643786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d26e9d95a3f9c11c32ebed782c8e3a274f3d1baf5e987e4141ac1cb1afbeb3e0

Aliases

arxiv: astro-ph/0505041 · arxiv_version: astro-ph/0505041v1 · doi: 10.48550/arxiv.astro-ph/0505041 · pith_short_12: 2JXJ3FND7HAR · pith_short_16: 2JXJ3FND7HARYMXL · pith_short_8: 2JXJ3FND

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/2JXJ3FND7HARYMXL5V4CZDR2E5 \
  | 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: d26e9d95a3f9c11c32ebed782c8e3a274f3d1baf5e987e4141ac1cb1afbeb3e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "499825e32cc7f88db24f9489760cb64b798318dc9b168a4645472c88112ad83e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-05-02T20:27:59Z",
    "title_canon_sha256": "9f2799a0f01afc6a156f630cf8dab0db451bf700de7f51d61e775ffc771c5288"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0505041",
    "kind": "arxiv",
    "version": 1
  }
}