Pith Number

pith:2ZWHNJFD

pith:2025:2ZWHNJFD2L2H7WFI6NZSQX5OUU

not attested not anchored not stored refs pending

Digit anomalies in the hadronic mass spectrum, classical and quantum information entropies, and the dynamical QCD scale

R. da Rocha, R. D. Vilela

arxiv:2511.12789 v2 · 2025-11-16 · hep-ph · 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{2ZWHNJFD2L2H7WFI6NZSQX5OUU}

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	2026-06-19T16:12:04.588727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d66c76a4a3d2f47fd8a8f373285faea5398c32404e900924799d7b57a5f5817e

Aliases

arxiv: 2511.12789 · arxiv_version: 2511.12789v2 · doi: 10.48550/arxiv.2511.12789 · pith_short_12: 2ZWHNJFD2L2H · pith_short_16: 2ZWHNJFD2L2H7WFI · pith_short_8: 2ZWHNJFD

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/2ZWHNJFD2L2H7WFI6NZSQX5OUU \
  | 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: d66c76a4a3d2f47fd8a8f373285faea5398c32404e900924799d7b57a5f5817e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d11a19a1dd03e8d3c3f6914598b2b4b3baa5936747ccb2d99b8a4dc3eb50ac1d",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2025-11-16T21:42:35Z",
    "title_canon_sha256": "03ad7710b74490f58e08739d9991bac710ec764d332f43083a5c07b499203f77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.12789",
    "kind": "arxiv",
    "version": 2
  }
}