Pith Number

pith:4IAYRO7X

pith:2010:4IAYRO7XVL3JOU4YH3NAPNECR2

not attested not anchored not stored refs pending

Will Multiple Probes of Dark Energy find Modified Gravity?

Ben Hoyle, Brenna Flaugher, Charles Shapiro, Lado Samushia, Scott Dodelson

arxiv:1004.4810 v2 · 2010-04-27 · 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{4IAYRO7XVL3JOU4YH3NAPNECR2}

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	2026-05-18T02:33:33.381566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e20188bbf7aaf69753983eda07b4828e8f9b0333fe8411538c83acb6f249a3a7

Aliases

arxiv: 1004.4810 · arxiv_version: 1004.4810v2 · doi: 10.48550/arxiv.1004.4810 · pith_short_12: 4IAYRO7XVL3J · pith_short_16: 4IAYRO7XVL3JOU4Y · pith_short_8: 4IAYRO7X

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/4IAYRO7XVL3JOU4YH3NAPNECR2 \
  | 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: e20188bbf7aaf69753983eda07b4828e8f9b0333fe8411538c83acb6f249a3a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "153d52d857e35fee27d0b6e2679df4c95fc20f401784e1da94c84e67170a235b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-04-27T14:16:48Z",
    "title_canon_sha256": "9d4fcfe34610a2b238978a516b634182d4f0ff859dba5d291738d1dab9c321cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4810",
    "kind": "arxiv",
    "version": 2
  }
}