Pith Number

pith:Y6PXL3ME

pith:2010:Y6PXL3MEWUCCH4JQ7ULRJJSG6E

not attested not anchored not stored refs pending

Numerical Strategies of Computing the Luminosity Distance

2), (2) Center for High Energy Physics, Beijing Normal University, Cong Ma (1), De-Zi Liu (1), Peking University), Tong-Jie Zhang (1, Zhi-Liang Yang (1) ((1) Department of Astronomy

arxiv:1008.4414 v3 · 2010-08-26 · astro-ph.IM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y6PXL3MEWUCCH4JQ7ULRJJSG6E}

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	2026-05-18T04:24:27.550807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c79f75ed84b50423f130fd1714a646f1138838a50a375c05f383002ba57561a6

Aliases

arxiv: 1008.4414 · arxiv_version: 1008.4414v3 · doi: 10.48550/arxiv.1008.4414 · pith_short_12: Y6PXL3MEWUCC · pith_short_16: Y6PXL3MEWUCCH4JQ · pith_short_8: Y6PXL3ME

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/Y6PXL3MEWUCCH4JQ7ULRJJSG6E \
  | 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: c79f75ed84b50423f130fd1714a646f1138838a50a375c05f383002ba57561a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a34c82c8d2f2a3dd79ef00581dd0b343338c7f8f14123bdb1a51f06955f3232",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2010-08-26T01:22:21Z",
    "title_canon_sha256": "3069dbb32430c424e82819b5a846313b87525d481218afd72f8ba3ecb4415aa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4414",
    "kind": "arxiv",
    "version": 3
  }
}