Pith Number

pith:ZYHIR7AR

pith:2026:ZYHIR7ARGWFHEI6W2RGQWJMFHU

not attested not anchored not stored refs pending

Quantum gravity and spectral running cutoff

Arcangelo Pernace, Carlo Branchina, Filippo Contino, Riccardo Gandolfo, Vincenzo Branchina

arxiv:2606.16911 v2 · 2026-06-15 · hep-th · 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{ZYHIR7ARGWFHEI6W2RGQWJMFHU}

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	2026-07-07T03:18:59.542737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce0e88fc11358a7223d6d44d0b25853d28fd58216263b8f14aab324fd9c332a9

Aliases

arxiv: 2606.16911 · arxiv_version: 2606.16911v2 · doi: 10.48550/arxiv.2606.16911 · pith_short_12: ZYHIR7ARGWFH · pith_short_16: ZYHIR7ARGWFHEI6W · pith_short_8: ZYHIR7AR

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/ZYHIR7ARGWFHEI6W2RGQWJMFHU \
  | 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: ce0e88fc11358a7223d6d44d0b25853d28fd58216263b8f14aab324fd9c332a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edf8ea9879e57f926ecb58ba9f270e06e5bdae17f5344b0cf2d3c1d0a63882a0",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-15T16:19:08Z",
    "title_canon_sha256": "32763343a7deb5d7dbfe6b92677a62f7d3a4fb6a03d764d0a991d3c7944f22eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.16911",
    "kind": "arxiv",
    "version": 2
  }
}