Pith Number

pith:YVRIRR7F

pith:2015:YVRIRR7FKTC7VCTE7Q2E7S2JDP

not attested not anchored not stored refs pending

Spectral Action Models of Gravity on Packed Swiss Cheese Cosmology

Adam Ball, Matilde Marcolli

arxiv:1506.01401 v2 · 2015-06-03 · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YVRIRR7FKTC7VCTE7Q2E7S2JDP}

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	2026-05-18T01:14:04.163069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c56288c7e554c5fa8a64fc344fcb491bd3ac4a17951367c90b8426ac18b08ce8

Aliases

arxiv: 1506.01401 · arxiv_version: 1506.01401v2 · doi: 10.48550/arxiv.1506.01401 · pith_short_12: YVRIRR7FKTC7 · pith_short_16: YVRIRR7FKTC7VCTE · pith_short_8: YVRIRR7F

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/YVRIRR7FKTC7VCTE7Q2E7S2JDP \
  | 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: c56288c7e554c5fa8a64fc344fcb491bd3ac4a17951367c90b8426ac18b08ce8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e9f1eaeb5308f39aa56da33aaf16745d8047dca760eec57458df31461823157",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-06-03T20:42:14Z",
    "title_canon_sha256": "c3ae6291a9a66045e84cbf357110acae9eb6323b80391f3a2fa8c89a56a67882"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01401",
    "kind": "arxiv",
    "version": 2
  }
}