Pith Number

pith:VRDCQNIP

pith:2013:VRDCQNIPURD4GQMJV5VYUOV2UG

not attested not anchored not stored refs pending

Effects of Non-Commutativity on Light-Hydrogen-Like Atoms and Proton Radius

A. Benslama, M. Moumni

arxiv:1305.3508 v4 · 2013-05-15 · 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{VRDCQNIPURD4GQMJV5VYUOV2UG}

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	2026-05-18T03:07:03.727492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac4628350fa447c34189af6b8a3abaa1bf408b6ebffb65c1ac9aacee82443dba

Aliases

arxiv: 1305.3508 · arxiv_version: 1305.3508v4 · doi: 10.48550/arxiv.1305.3508 · pith_short_12: VRDCQNIPURD4 · pith_short_16: VRDCQNIPURD4GQMJ · pith_short_8: VRDCQNIP

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/VRDCQNIPURD4GQMJV5VYUOV2UG \
  | 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: ac4628350fa447c34189af6b8a3abaa1bf408b6ebffb65c1ac9aacee82443dba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee270fc5b7169238eb201fe01bc88f1c8b9706b540a9e64679807a19c6a779ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-05-15T14:52:24Z",
    "title_canon_sha256": "7a4cbb7016a2aa243a0ac841fcb607def959c5bf8fb24f6c8a7c5fa7dfcaa936"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3508",
    "kind": "arxiv",
    "version": 4
  }
}