Pith Number

pith:2H56MDXW

pith:2009:2H56MDXWRXEWETVRR6G3NMTHGV

not attested not anchored not stored refs pending

Hubble Diagram Dispersion From Large-Scale Structure

Joe Zuntz, Timothy Clifton

arxiv:0902.0726 v2 · 2009-02-04 · 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{2H56MDXWRXEWETVRR6G3NMTHGV}

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	2026-05-18T02:14:49.307113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1fbe60ef68dc9624eb18f8db6b267355e928d8a48e772c2b5eba2eec47aedcc

Aliases

arxiv: 0902.0726 · arxiv_version: 0902.0726v2 · doi: 10.48550/arxiv.0902.0726 · pith_short_12: 2H56MDXWRXEW · pith_short_16: 2H56MDXWRXEWETVR · pith_short_8: 2H56MDXW

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/2H56MDXWRXEWETVRR6G3NMTHGV \
  | 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: d1fbe60ef68dc9624eb18f8db6b267355e928d8a48e772c2b5eba2eec47aedcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3b20f357d3885ae8e934928c61ad9bd19cd4c2f2b484f5108519e92a41986d7",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-02-04T13:49:02Z",
    "title_canon_sha256": "e00350e7fcee52486955328336334a947101b8e7318cda099d50be7fbe481036"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0726",
    "kind": "arxiv",
    "version": 2
  }
}