pith. sign in
Pith Number

pith:II5PJ7TV

pith:2014:II5PJ7TVBAVXQJS7ETV7EGKXXR
not attested not anchored not stored refs pending

Relativity of arithmetic as a fundamental symmetry of physics

Marek Czachor

arxiv:1412.8583 v5 · 2014-12-30 · math-ph · gr-qc · math.MP · nlin.CD · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{II5PJ7TVBAVXQJS7ETV7EGKXXR}

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 2026-05-18T01:14:36.181119Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

423af4fe75082b78265f24ebf21957bc75337d4921c63fabc6d2573a63d3cf0b

Aliases

arxiv: 1412.8583 · arxiv_version: 1412.8583v5 · doi: 10.48550/arxiv.1412.8583 · pith_short_12: II5PJ7TVBAVX · pith_short_16: II5PJ7TVBAVXQJS7 · pith_short_8: II5PJ7TV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/II5PJ7TVBAVXQJS7ETV7EGKXXR \
  | 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: 423af4fe75082b78265f24ebf21957bc75337d4921c63fabc6d2573a63d3cf0b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9e2dcc5554bd0895fe74204fa0f63f2772aaf16f05a0fdbc01d3fd56ebdb1a6b",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP",
      "nlin.CD",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-12-30T08:53:56Z",
    "title_canon_sha256": "9ac95327e12bc7593fd4e4f38ea8d65342da95813d2be67a420d3ac6c7f65e9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8583",
    "kind": "arxiv",
    "version": 5
  }
}