Pith Number

pith:ZD7ETX2Q

pith:2021:ZD7ETX2QV7VL5DEXRJUNDO6W5J

not attested not anchored not stored refs pending

Hubble distancing: Focusing on distance measurements in cosmology

Francis-Yan Cyr-Racine, Kylar L. Greene

arxiv:2112.11567 v2 · 2021-12-21 · astro-ph.CO · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZD7ETX2QV7VL5DEXRJUNDO6W5J}

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	2026-07-05T07:17:21.796161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8fe49df50afeabe8c978a68d1bbd6ea4db365882a1813e16d0da58131520921

Aliases

arxiv: 2112.11567 · arxiv_version: 2112.11567v2 · doi: 10.48550/arxiv.2112.11567 · pith_short_12: ZD7ETX2QV7VL · pith_short_16: ZD7ETX2QV7VL5DEX · pith_short_8: ZD7ETX2Q

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/ZD7ETX2QV7VL5DEXRJUNDO6W5J \
  | 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: c8fe49df50afeabe8c978a68d1bbd6ea4db365882a1813e16d0da58131520921

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3101bdcad11fc82400489c377a58924c6bcb87c789b6d3b839e6d044a986dfe",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-12-21T23:00:53Z",
    "title_canon_sha256": "2d4eb0f8888f7f0268672dbba0f0357d7e22e0299d6793cfaaa6c4e504aafa93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.11567",
    "kind": "arxiv",
    "version": 2
  }
}