Pith Number

pith:A4K7G4Y2

pith:2013:A4K7G4Y2HRLZUVCRPEYNA3CYKP

not attested not anchored not stored refs pending

Updated constraints from the PLANCK experiment on modified gravity

Andrea Marchini, Valentina Salvatelli

arxiv:1307.2002 v1 · 2013-07-08 · astro-ph.CO · gr-qc · 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{A4K7G4Y2HRLZUVCRPEYNA3CYKP}

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	2026-05-18T03:11:59.055297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0715f3731a3c579a54517930d06c5853ceb045dfee89b033f931fcc3bb0bfd94

Aliases

arxiv: 1307.2002 · arxiv_version: 1307.2002v1 · doi: 10.48550/arxiv.1307.2002 · pith_short_12: A4K7G4Y2HRLZ · pith_short_16: A4K7G4Y2HRLZUVCR · pith_short_8: A4K7G4Y2

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/A4K7G4Y2HRLZUVCRPEYNA3CYKP \
  | 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: 0715f3731a3c579a54517930d06c5853ceb045dfee89b033f931fcc3bb0bfd94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89788936dbdc404c28cffbb22a80c434e09553bc996a5545cacf4c7c0d189408",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-07-08T09:36:13Z",
    "title_canon_sha256": "8c28ba63a7e6604bbd3247a53cdcef8505f847a91ed052c002f3ccc9bfb43a71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2002",
    "kind": "arxiv",
    "version": 1
  }
}