Pith Number

pith:Q7JTRV2V

pith:2010:Q7JTRV2VPOHDKFQRPTQ6LMMD6H

not attested not anchored not stored refs pending

Possible direct measurement of the expansion rate of the universe

Shi Qi, Tan Lu

arxiv:1001.3975 v3 · 2010-01-22 · astro-ph.CO · astro-ph.IM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q7JTRV2VPOHDKFQRPTQ6LMMD6H}

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	2026-05-18T03:56:22.914811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87d338d7557b8e3516117ce1e5b183f1fbfb883f8899e9170cedf0d7665934cc

Aliases

arxiv: 1001.3975 · arxiv_version: 1001.3975v3 · doi: 10.48550/arxiv.1001.3975 · pith_short_12: Q7JTRV2VPOHD · pith_short_16: Q7JTRV2VPOHDKFQR · pith_short_8: Q7JTRV2V

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/Q7JTRV2VPOHDKFQRPTQ6LMMD6H \
  | 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: 87d338d7557b8e3516117ce1e5b183f1fbfb883f8899e9170cedf0d7665934cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0248a7b3a763d1fd403746daae22e8035746b85ac19d154ff8f02202e3c068fd",
    "cross_cats_sorted": [
      "astro-ph.IM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-01-22T12:30:51Z",
    "title_canon_sha256": "1cb794707c961f804ab33a0e13c00a8e9176342da257472365bfd8bfb42f8aba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3975",
    "kind": "arxiv",
    "version": 3
  }
}