Pith Number

pith:MXXKRPDR

pith:2002:MXXKRPDRW7XNNRFAYKB76RMOI4

not attested not anchored not stored refs pending

Radio-wave propagation through a medium containing electron-density fluctuations described by an anisotropic Goldreich-Sridhar spectrum

B. D. G. Chandran, D. C. Backer

arxiv:astro-ph/0202261 v1 · 2002-02-13 · 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{MXXKRPDRW7XNNRFAYKB76RMOI4}

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	2026-07-04T16:29:24.225606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65eea8bc71b7eed6c4a0c283ff458e473e976559c5ba0c8785869d2bd412a458

Aliases

arxiv: astro-ph/0202261 · arxiv_version: astro-ph/0202261v1 · doi: 10.48550/arxiv.astro-ph/0202261 · pith_short_12: MXXKRPDRW7XN · pith_short_16: MXXKRPDRW7XNNRFA · pith_short_8: MXXKRPDR

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/MXXKRPDRW7XNNRFAYKB76RMOI4 \
  | 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: 65eea8bc71b7eed6c4a0c283ff458e473e976559c5ba0c8785869d2bd412a458

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1312b9a374d702a0f7a7b1ecf14b2128f3896bc2f07d6aa3b86ad15989a4e348",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-02-13T21:13:36Z",
    "title_canon_sha256": "17a7a74e300eac07ca4e02eea38efb0a7afa375c387f96419453892fba846d1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0202261",
    "kind": "arxiv",
    "version": 1
  }
}