Pith Number

pith:KCG7ETNK

pith:2023:KCG7ETNKSGWUL2MARDLEP3GMJS

not attested not anchored not stored refs pending

Spherical Harmonics for the 1D Radiative Transfer Equation II: Thermal Emission

Caoimhe M. Rooney, Mark S. Marley, Natasha E. Batalha

arxiv:2304.04830 v1 · 2023-04-10 · astro-ph.EP · astro-ph.IM · astro-ph.SR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCG7ETNKSGWUL2MARDLEP3GMJS}

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	2026-07-05T05:59:52.183053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

508df24daa91ad45e98088d647eccc4cbd6669f501f5a8d353a75fc40470d80d

Aliases

arxiv: 2304.04830 · arxiv_version: 2304.04830v1 · doi: 10.48550/arxiv.2304.04830 · pith_short_12: KCG7ETNKSGWU · pith_short_16: KCG7ETNKSGWUL2MA · pith_short_8: KCG7ETNK

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/KCG7ETNKSGWUL2MARDLEP3GMJS \
  | 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: 508df24daa91ad45e98088d647eccc4cbd6669f501f5a8d353a75fc40470d80d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4159e4db6d4ca215c7f424c2af8f5be2181f489ff17b8acfc78a7f42aaeff13",
    "cross_cats_sorted": [
      "astro-ph.IM",
      "astro-ph.SR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2023-04-10T19:37:53Z",
    "title_canon_sha256": "fd1dc3048667b9466ba2e84cd473776b07ee83cfe60232ff6beef939958ae8aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.04830",
    "kind": "arxiv",
    "version": 1
  }
}