Pith Number

pith:X45YZ5GQ

pith:2012:X45YZ5GQX63JJSCMLAKD64CTVL

not attested not anchored not stored refs pending

Leading Relativistic Corrections to the Kompaneets Equation

Dean L. Preston, Lowell S. Brown

arxiv:1201.5606 v2 · 2012-01-26 · astro-ph.CO · physics.plasm-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{X45YZ5GQX63JJSCMLAKD64CTVL}

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	2026-05-18T01:58:41.350582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf3b8cf4d0bfb694c84c58143f7053aac99c4ce62f1c75309fff8b43d2fc8907

Aliases

arxiv: 1201.5606 · arxiv_version: 1201.5606v2 · doi: 10.48550/arxiv.1201.5606 · pith_short_12: X45YZ5GQX63J · pith_short_16: X45YZ5GQX63JJSCM · pith_short_8: X45YZ5GQ

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/X45YZ5GQX63JJSCMLAKD64CTVL \
  | 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: bf3b8cf4d0bfb694c84c58143f7053aac99c4ce62f1c75309fff8b43d2fc8907

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43039658887015a70b210a2a0a68ceb22513f91bc2f9cb5831d87dca06742688",
    "cross_cats_sorted": [
      "physics.plasm-ph"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-01-26T19:03:06Z",
    "title_canon_sha256": "1f5bb5de9c019ecb8844e0e6934539acd8a89e5df49d98a16399050e3d5e9733"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5606",
    "kind": "arxiv",
    "version": 2
  }
}