Pith Number

pith:WQB4VPYI

pith:2015:WQB4VPYI4L2HHYFVIW5VRNRC4R

not attested not anchored not stored refs pending

Is the Universe Transparent?

A. Avgoustidis, Kai Liao, Zhengxiang Li

arxiv:1512.01861 v1 · 2015-12-06 · 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{WQB4VPYI4L2HHYFVIW5VRNRC4R}

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.

Cited by

2 papers in Pith

Model-independent test of the cosmic distance duality relation with recent observational data

Cosmology-Independent Constraints on the Etherington Relation and SNeIa Absolute Magnitude Evolution from DESI-DR2

Receipt and verification

First computed	2026-05-18T01:23:33.267872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b403cabf08e2f473e0b545bb58b622e44f2d179fa985bea90d3336fd79b0bfe8

Aliases

arxiv: 1512.01861 · arxiv_version: 1512.01861v1 · doi: 10.48550/arxiv.1512.01861 · pith_short_12: WQB4VPYI4L2H · pith_short_16: WQB4VPYI4L2HHYFV · pith_short_8: WQB4VPYI

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/WQB4VPYI4L2HHYFVIW5VRNRC4R \
  | 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: b403cabf08e2f473e0b545bb58b622e44f2d179fa985bea90d3336fd79b0bfe8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85e60e82471f8da03c7c7d8bf620effdae9164750039a53fee66a974d950299b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-12-06T23:57:24Z",
    "title_canon_sha256": "96bf6f630ba1eaf9e6863c0c83f52957faa75aa5ff8a65e48ce1eaf1c555b360"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01861",
    "kind": "arxiv",
    "version": 1
  }
}