Pith Number

pith:HQL4RLNT

pith:2011:HQL4RLNTSOUCDDAUSCPX3OGTAZ

not attested not anchored not stored refs pending

Hubble and Shapley - Two Early Giants of Observational Cosmology

Sidney van den Bergh

arxiv:1110.2445 v1 · 2011-10-11 · physics.hist-ph · 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{HQL4RLNTSOUCDDAUSCPX3OGTAZ}

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	2026-05-18T04:11:09.019467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c17c8adb393a8218c14909f7db8d30664e23aea5bac2f2cf23a02c9a99b676d

Aliases

arxiv: 1110.2445 · arxiv_version: 1110.2445v1 · doi: 10.48550/arxiv.1110.2445 · pith_short_12: HQL4RLNTSOUC · pith_short_16: HQL4RLNTSOUCDDAU · pith_short_8: HQL4RLNT

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/HQL4RLNTSOUCDDAUSCPX3OGTAZ \
  | 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: 3c17c8adb393a8218c14909f7db8d30664e23aea5bac2f2cf23a02c9a99b676d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70fc1dba7a13d74d371a6ded60700ee634415565b41672f59bf29fe7000dcd9d",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2011-10-11T17:32:22Z",
    "title_canon_sha256": "86d3406f9a3066890dd54fc1e38a566e0c9ea19808f18642e45a0523f9edad8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2445",
    "kind": "arxiv",
    "version": 1
  }
}