Pith Number

pith:LFK3VTEN

pith:2015:LFK3VTENDDBCCIQHBGV7ARX5T4

not attested not anchored not stored refs pending

Spectrum and Entropy of C-systems. MIXMAX random number generator

George Savvidy, Konstantin Savvidy

arxiv:1510.06274 v3 · 2015-10-21 · math.DS · hep-lat · 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{LFK3VTENDDBCCIQHBGV7ARX5T4}

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	2026-05-18T01:14:02.882237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5955bacc8d18c221220709abf046fd9f3958eb70af6c797bb2d0c070ce957822

Aliases

arxiv: 1510.06274 · arxiv_version: 1510.06274v3 · doi: 10.48550/arxiv.1510.06274 · pith_short_12: LFK3VTENDDBC · pith_short_16: LFK3VTENDDBCCIQH · pith_short_8: LFK3VTEN

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/LFK3VTENDDBCCIQHBGV7ARX5T4 \
  | 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: 5955bacc8d18c221220709abf046fd9f3958eb70af6c797bb2d0c070ce957822

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f20b8475878384fafe7c442927d7e304ca18c942b40c3743d0bd8ff52423f9c5",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-21T14:30:50Z",
    "title_canon_sha256": "b39caf058103feb2c93c0f385e4200ab4323735b4dc97f040c6484c8e143216d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06274",
    "kind": "arxiv",
    "version": 3
  }
}