Pith Number

pith:WAWX7ABU

pith:2018:WAWX7ABU72Q4YBQEQXGAN2XGDP

not attested not anchored not stored refs pending

General Dirac Operators as Generators of Operator Groups

Anatoly G. Baskakov, Ilya A. Krishtal, Natalia B. Uskova

arxiv:1806.10831 v1 · 2018-06-28 · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WAWX7ABU72Q4YBQEQXGAN2XGDP}

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	2026-05-18T00:12:07.807796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b02d7f8034fea1cc060485cc06eae61bf00ce11d661a76465217282d51c90ab7

Aliases

arxiv: 1806.10831 · arxiv_version: 1806.10831v1 · doi: 10.48550/arxiv.1806.10831 · pith_short_12: WAWX7ABU72Q4 · pith_short_16: WAWX7ABU72Q4YBQE · pith_short_8: WAWX7ABU

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/WAWX7ABU72Q4YBQEQXGAN2XGDP \
  | 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: b02d7f8034fea1cc060485cc06eae61bf00ce11d661a76465217282d51c90ab7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b53f9b9a7cb51d8b6479459846a34706dc16a483ca14f4b6ce575cbfa91c362",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-06-28T08:51:26Z",
    "title_canon_sha256": "c11454810f70d322b160acb33ec6828aa5cabbe3ccdd899d41769d097ea41e92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10831",
    "kind": "arxiv",
    "version": 1
  }
}