Pith Number

pith:BPFAI62F

pith:2010:BPFAI62F6AGSP2TGQFOV57OOVH

not attested not anchored not stored refs pending

Numerical versus analytical accuracy of the formulas for light propagation

S.A. Klioner, S. Zschocke

arxiv:1001.2133 v2 · 2010-01-13 · astro-ph.CO · astro-ph.SR · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPFAI62F6AGSP2TGQFOV57OOVH}

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	2026-05-18T02:09:55.068244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bca047b45f00d27ea66815d5efdcea9f76af898e8b812550170de42bbdac183

Aliases

arxiv: 1001.2133 · arxiv_version: 1001.2133v2 · doi: 10.48550/arxiv.1001.2133 · pith_short_12: BPFAI62F6AGS · pith_short_16: BPFAI62F6AGSP2TG · pith_short_8: BPFAI62F

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/BPFAI62F6AGSP2TGQFOV57OOVH \
  | 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: 0bca047b45f00d27ea66815d5efdcea9f76af898e8b812550170de42bbdac183

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cf3c3b5ee68cb582e30dba7755ae03b4b0f270226bd998c05cb5722fe6522ee",
    "cross_cats_sorted": [
      "astro-ph.SR",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-01-13T11:48:19Z",
    "title_canon_sha256": "816788ec1f5c540f4e809294574ccad84fe66099e87bd10b0456291c5b3a1259"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2133",
    "kind": "arxiv",
    "version": 2
  }
}