Pith Number

pith:73HXZRFV

pith:2011:73HXZRFVUW24FNAUZTIVAXMDVI

not attested not anchored not stored refs pending

Lema\^{i}tre's Hubble relationship

Harry Nussbaumer (ETH, M.J. Way (NASA/GISS), Switzerland)

arxiv:1104.3031 v2 · 2011-04-15 · physics.hist-ph · astro-ph.CO · 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{73HXZRFVUW24FNAUZTIVAXMDVI}

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	2026-05-18T04:14:29.047013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fecf7cc4b5a5b5c2b414ccd1505d83aa19fa6215ca5e8968f3cd6017c2a405d1

Aliases

arxiv: 1104.3031 · arxiv_version: 1104.3031v2 · doi: 10.48550/arxiv.1104.3031 · pith_short_12: 73HXZRFVUW24 · pith_short_16: 73HXZRFVUW24FNAU · pith_short_8: 73HXZRFV

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/73HXZRFVUW24FNAUZTIVAXMDVI \
  | 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: fecf7cc4b5a5b5c2b414ccd1505d83aa19fa6215ca5e8968f3cd6017c2a405d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab2ed25a8dd346125198a356878e705d1e159f27c1e1b0058f9c2059afe7d329",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2011-04-15T12:19:15Z",
    "title_canon_sha256": "9bb660d1f3f56c75a7043762fbaa46198fbee3618d97552922c5e73fc4be127d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3031",
    "kind": "arxiv",
    "version": 2
  }
}