Pith Number

pith:CN247BHG

pith:2013:CN247BHGBS6RWVYPVIV5EEBHSK

not attested not anchored not stored refs pending

The Hubble flow: an observer's perspective

A.V. Toporensky (SAI MSU), S.B. Popov (SAI MSU)

arxiv:1311.2472 v2 · 2013-11-05 · physics.pop-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{CN247BHGBS6RWVYPVIV5EEBHSK}

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	2026-05-18T01:46:32.387604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1375cf84e60cbd1b570faa2bd21027929ae4f4c4a0ba6b0f8b9314d76b48be7c

Aliases

arxiv: 1311.2472 · arxiv_version: 1311.2472v2 · doi: 10.48550/arxiv.1311.2472 · pith_short_12: CN247BHGBS6R · pith_short_16: CN247BHGBS6RWVYP · pith_short_8: CN247BHG

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/CN247BHGBS6RWVYPVIV5EEBHSK \
  | 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: 1375cf84e60cbd1b570faa2bd21027929ae4f4c4a0ba6b0f8b9314d76b48be7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75342c56474578c95f00d5086e30ac70af3059a523d08ca5a31ce0b74dc1dde2",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.pop-ph",
    "submitted_at": "2013-11-05T12:08:35Z",
    "title_canon_sha256": "633f059f386fa64e55f3c111fadf69c549aec2a5f36e46dd7f9e3269d1addc94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2472",
    "kind": "arxiv",
    "version": 2
  }
}