Pith Number

pith:35Y7XTBN

pith:2013:35Y7XTBNFYEM2WLWOLPO3LF4FC

not attested not anchored not stored refs pending

Parametrized modified gravity constraints after Planck

Bin Hu, Michele Liguori, Nicola Bartolo, Sabino Matarrese

arxiv:1307.5276 v3 · 2013-07-19 · 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{35Y7XTBNFYEM2WLWOLPO3LF4FC}

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	2026-05-18T03:04:49.009087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df71fbcc2d2e08cd597672deedacbc28a2556ce7d6fbe93f92764574a2a2b430

Aliases

arxiv: 1307.5276 · arxiv_version: 1307.5276v3 · doi: 10.48550/arxiv.1307.5276 · pith_short_12: 35Y7XTBNFYEM · pith_short_16: 35Y7XTBNFYEM2WLW · pith_short_8: 35Y7XTBN

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/35Y7XTBNFYEM2WLWOLPO3LF4FC \
  | 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: df71fbcc2d2e08cd597672deedacbc28a2556ce7d6fbe93f92764574a2a2b430

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc32702221d3711ee0a549ae0dd93c0fbfbe67f5d97bed5ed9ebb761235a13bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-07-19T16:38:22Z",
    "title_canon_sha256": "78683402fc90fe45d6b31d6378f07513c787caa016bb0f2322a719b7dc56400b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5276",
    "kind": "arxiv",
    "version": 3
  }
}