Pith Number

pith:2FJ4KS6U

pith:2015:2FJ4KS6U6RFXZJRMSA3ONCD7FS

not attested not anchored not stored refs pending

Cosmological perturbation of Unimodular Gravity and General Relativity are identical

Abhishek Basak, Oph\'elia Fabre, S. Shankaranarayanan

arxiv:1511.01805 v1 · 2015-11-05 · gr-qc · astro-ph.CO · 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{2FJ4KS6U6RFXZJRMSA3ONCD7FS}

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	2026-05-18T01:06:29.071915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d153c54bd4f44b7ca62c9036e6887f2ca65c18484346343d3c37b134f48c66b5

Aliases

arxiv: 1511.01805 · arxiv_version: 1511.01805v1 · doi: 10.48550/arxiv.1511.01805 · pith_short_12: 2FJ4KS6U6RFX · pith_short_16: 2FJ4KS6U6RFXZJRM · pith_short_8: 2FJ4KS6U

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/2FJ4KS6U6RFXZJRMSA3ONCD7FS \
  | 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: d153c54bd4f44b7ca62c9036e6887f2ca65c18484346343d3c37b134f48c66b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc1a0a09f5e76672609bc128e2c9091ac649c7aeee90b25dd98875bfa14e4a6d",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-11-05T16:39:36Z",
    "title_canon_sha256": "efa1464c71ed5d6ab09f647eae5d566746af051048ae07c16b4d1b8619b56385"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01805",
    "kind": "arxiv",
    "version": 1
  }
}