Pith Number

pith:PH3YQBIT

pith:2002:PH3YQBIT3B2EHRNLOAPVJEJSQ5

not attested not anchored not stored refs pending

Numerical methods for non-LTE line radiative transfer: Performance and convergence characteristics

C.P. Dullemond, F.F.S. van der Tak, F.L. Schoeier, G.-J. van Zadelhoff, H. Wiesemeyer, J.A. Yates, M. Juvela, M.R. Hogerheijde, S.D. Doty, V. Ossenkopf

arxiv:astro-ph/0208503 v2 · 2002-08-28 · 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{PH3YQBIT3B2EHRNLOAPVJEJSQ5}

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	2026-07-04T16:30:41.996604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79f7880513d87443c5ab701f5491328749dc936345a96f73e2db366e469d5958

Aliases

arxiv: astro-ph/0208503 · arxiv_version: astro-ph/0208503v2 · doi: 10.48550/arxiv.astro-ph/0208503 · pith_short_12: PH3YQBIT3B2E · pith_short_16: PH3YQBIT3B2EHRNL · pith_short_8: PH3YQBIT

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/PH3YQBIT3B2EHRNLOAPVJEJSQ5 \
  | 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: 79f7880513d87443c5ab701f5491328749dc936345a96f73e2db366e469d5958

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a33c27e2af738fcb9d38fc9a19ce994c94ec12906d81aa8d59a0af02de29354",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-08-28T13:54:16Z",
    "title_canon_sha256": "42503a28c6cbb51480ebbb8d93d6bb6d09b9bfa678cb119562575e926f205064"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0208503",
    "kind": "arxiv",
    "version": 2
  }
}