Pith Number

pith:4EF3Y5E7

pith:2016:4EF3Y5E7CFLNQC3XS7FWMBVUZN

not attested not anchored not stored refs pending

Gauge-Invariance and Infrared Divergences in the Luminosity Distance

Jaiyul Yoo, Sang Gyu Biern

arxiv:1606.01910 v3 · 2016-06-06 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4EF3Y5E7CFLNQC3XS7FWMBVUZN}

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	2026-05-18T00:45:16.027291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e10bbc749f1156d80b7797cb6606b4cb68ab935b1bddbe372fd7580a69eff95b

Aliases

arxiv: 1606.01910 · arxiv_version: 1606.01910v3 · doi: 10.48550/arxiv.1606.01910 · pith_short_12: 4EF3Y5E7CFLN · pith_short_16: 4EF3Y5E7CFLNQC3X · pith_short_8: 4EF3Y5E7

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/4EF3Y5E7CFLNQC3XS7FWMBVUZN \
  | 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: e10bbc749f1156d80b7797cb6606b4cb68ab935b1bddbe372fd7580a69eff95b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a9473b4b844b617250369516b14ce1f99431d85a0c1e18735fafc710eb2956e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-06-06T20:01:00Z",
    "title_canon_sha256": "4500e76ac3616fa910e6d013c7eec34dc79c2d59582144dbafc0885cc7a4d762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01910",
    "kind": "arxiv",
    "version": 3
  }
}