Pith Number

pith:S7X67VNX

pith:2021:S7X67VNXOWICJ4ESWSX4M3T5EY

not attested not anchored not stored refs pending

Numerical solutions to linear transfer problems of polarized radiation II. Krylov methods and matrix-free implementation

Gioele Janett, Luca Belluzzi, Pietro Benedusi, Rolf Krause

arxiv:2110.11873 v1 · 2021-10-22 · math.NA · astro-ph.SR · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7X67VNXOWICJ4ESWSX4M3T5EY}

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	2026-07-05T03:38:38.642853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97efefd5b7759024f092b4afc66e7d263bf2eeba924931b72b9863c40c7bb59f

Aliases

arxiv: 2110.11873 · arxiv_version: 2110.11873v1 · doi: 10.48550/arxiv.2110.11873 · pith_short_12: S7X67VNXOWIC · pith_short_16: S7X67VNXOWICJ4ES · pith_short_8: S7X67VNX

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/S7X67VNXOWICJ4ESWSX4M3T5EY \
  | 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: 97efefd5b7759024f092b4afc66e7d263bf2eeba924931b72b9863c40c7bb59f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f10791f2705ce6920e9671111baf36f63d146cb530550376f0f559a44e5aa036",
    "cross_cats_sorted": [
      "astro-ph.SR",
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-10-22T16:00:04Z",
    "title_canon_sha256": "5a96af7c7c529d36d085a23d05b75f0ab3263f38038b2ee65548966f71ec46ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.11873",
    "kind": "arxiv",
    "version": 1
  }
}