Pith Number

pith:WW33JMRX

pith:2017:WW33JMRX2GU2AEO6CSQQQ37X5A

not attested not anchored not stored refs pending

Zitterbewegung and symmetry switching in Klein's four-group

A. Ugulava, L. Chotorlishvili, P. Zi\c{e}ba I. Tralle

arxiv:1711.05053 v1 · 2017-11-14 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WW33JMRX2GU2AEO6CSQQQ37X5A}

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	2026-05-18T00:25:51.603271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5b7b4b237d1a9a011de14a1086ff7e820f5d7122beee1a3c51131f7332514d3

Aliases

arxiv: 1711.05053 · arxiv_version: 1711.05053v1 · doi: 10.48550/arxiv.1711.05053 · pith_short_12: WW33JMRX2GU2 · pith_short_16: WW33JMRX2GU2AEO6 · pith_short_8: WW33JMRX

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/WW33JMRX2GU2AEO6CSQQQ37X5A \
  | 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: b5b7b4b237d1a9a011de14a1086ff7e820f5d7122beee1a3c51131f7332514d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04fac57d356318f5197695fdb5b02ad96557f60fa9b49d968f5cd31dc7cb8146",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-11-14T10:54:33Z",
    "title_canon_sha256": "a66a21e62593f0c32ade059e0055ebc8aed5eca5da4940a93f0001b74ad480ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05053",
    "kind": "arxiv",
    "version": 1
  }
}