Pith Number

pith:MJPFNZSE

pith:2016:MJPFNZSEJOPIE22BY6CDFOG7BH

not attested not anchored not stored refs pending

How does the cosmic large-scale structure bias the Hubble diagram?

Chris Clarkson, Pierre Fleury, Roy Maartens

arxiv:1612.03726 v2 · 2016-12-12 · 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{MJPFNZSEJOPIE22BY6CDFOG7BH}

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	2026-05-18T00:47:20.079603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

625e56e6444b9e826b41c78432b8df09e0fef3956ee211cd2f73398752a1d4db

Aliases

arxiv: 1612.03726 · arxiv_version: 1612.03726v2 · doi: 10.48550/arxiv.1612.03726 · pith_short_12: MJPFNZSEJOPI · pith_short_16: MJPFNZSEJOPIE22B · pith_short_8: MJPFNZSE

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/MJPFNZSEJOPIE22BY6CDFOG7BH \
  | 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: 625e56e6444b9e826b41c78432b8df09e0fef3956ee211cd2f73398752a1d4db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f8fc4813781d43529a5a318396b8a4a98e99d3aa43eef9f9aca419895a488fc",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-12-12T14:57:32Z",
    "title_canon_sha256": "1687c7a06329b882fc53646d0dac4129842cd28535a5a8c92ac6b83725c15e82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03726",
    "kind": "arxiv",
    "version": 2
  }
}