Pith Number

pith:L7SKGYIO

pith:2021:L7SKGYIOFC2WHWFIKPDRFXLDLY

not attested not anchored not stored refs pending

Test of the cosmic distance duality relation for arbitrary spatial curvature

Fulvio Melia, Jin Qin, Tong-Jie Zhang

arxiv:2101.05574 v2 · 2021-01-14 · 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{L7SKGYIOFC2WHWFIKPDRFXLDLY}

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	2026-07-05T02:13:59.881282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fe4a3610e28b563d8a853c712dd635e226d919108f8003a55bbde0e3eda9be0

Aliases

arxiv: 2101.05574 · arxiv_version: 2101.05574v2 · doi: 10.48550/arxiv.2101.05574 · pith_short_12: L7SKGYIOFC2W · pith_short_16: L7SKGYIOFC2WHWFI · pith_short_8: L7SKGYIO

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/L7SKGYIOFC2WHWFIKPDRFXLDLY \
  | 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: 5fe4a3610e28b563d8a853c712dd635e226d919108f8003a55bbde0e3eda9be0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfe6fa268cc69962caa0bf94b1c8efe570b1e662a90963cd34fe8c6293df88d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-01-14T12:57:33Z",
    "title_canon_sha256": "ff070b1f204685b82cc95f726ceded108c3e6e5965934e4bf6ce51f0cefe725c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.05574",
    "kind": "arxiv",
    "version": 2
  }
}