Pith Number

pith:FKSRV2P6

pith:2019:FKSRV2P6LOLJWDO4BJSITJIMIS

not attested not anchored not stored refs pending

Consistency relations for large-scale structure in modified gravity and the matter bispectrum

Filippo Vernizzi, Marco Crisostomi, Matthew Lewandowski

arxiv:1909.07366 v2 · 2019-09-16 · astro-ph.CO · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FKSRV2P6LOLJWDO4BJSITJIMIS}

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	2026-07-05T01:08:24.707707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aa51ae9fe5b969b0ddc0a6489a50c44963d3312fcedc26177d061a1eb9e4803

Aliases

arxiv: 1909.07366 · arxiv_version: 1909.07366v2 · doi: 10.48550/arxiv.1909.07366 · pith_short_12: FKSRV2P6LOLJ · pith_short_16: FKSRV2P6LOLJWDO4 · pith_short_8: FKSRV2P6

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/FKSRV2P6LOLJWDO4BJSITJIMIS \
  | 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: 2aa51ae9fe5b969b0ddc0a6489a50c44963d3312fcedc26177d061a1eb9e4803

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae7e3f058717a2d9d333130a5a1facff2c0076a57cde64c672543a6e67ccccf3",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-09-16T17:59:05Z",
    "title_canon_sha256": "b08b84f4305f0812b7a2b1b71f66ca9d7918bd0847b4121c47eeea2f28b81ab9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.07366",
    "kind": "arxiv",
    "version": 2
  }
}