Pith Number

pith:FPM266CO

pith:2022:FPM266COPNRYHVGRLY65AP264H

not attested not anchored not stored refs pending

When can we compute analytically lookback time, age of the universe, and luminosity distance?

Alexandre Leblanc, Sonia Jose, Valerio Faraoni

arxiv:2204.08579 v1 · 2022-04-18 · 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{FPM266COPNRYHVGRLY65AP264H}

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	2026-07-05T04:39:35.868630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bd9af784e7b6383d4d15e3dd03f5ee1f64af5779e7df7127c36a7c6e327d66f

Aliases

arxiv: 2204.08579 · arxiv_version: 2204.08579v1 · doi: 10.48550/arxiv.2204.08579 · pith_short_12: FPM266COPNRY · pith_short_16: FPM266COPNRYHVGR · pith_short_8: FPM266CO

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/FPM266COPNRYHVGRLY65AP264H \
  | 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: 2bd9af784e7b6383d4d15e3dd03f5ee1f64af5779e7df7127c36a7c6e327d66f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2edadca256b96943371a7d7b1db84ea39c3df86341fe0be2484b5de99c5c1447",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-04-18T22:21:24Z",
    "title_canon_sha256": "c2c81f9b901854b4f1cfea3fa906df17f3742fd54a246f049bfe69c14fc3764d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.08579",
    "kind": "arxiv",
    "version": 1
  }
}