Pith Number

pith:VC3XY7J7

pith:2016:VC3XY7J72LFNV42ONTIXF5G6OA

not attested not anchored not stored refs pending

The noncommutative geometry of Zitterbewegung

Micha{\l} Eckstein, Nicolas Franco, Tomasz Miller

arxiv:1610.10083 v1 · 2016-10-31 · math-ph · cond-mat.other · gr-qc · math.MP · quant-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{VC3XY7J72LFNV42ONTIXF5G6OA}

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	2026-05-18T00:47:49.536083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8b77c7d3fd2cadaf34e6cd172f4de7007e713a956fd08c12ee5027bf532d70b

Aliases

arxiv: 1610.10083 · arxiv_version: 1610.10083v1 · doi: 10.48550/arxiv.1610.10083 · pith_short_12: VC3XY7J72LFN · pith_short_16: VC3XY7J72LFNV42O · pith_short_8: VC3XY7J7

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/VC3XY7J72LFNV42ONTIXF5G6OA \
  | 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: a8b77c7d3fd2cadaf34e6cd172f4de7007e713a956fd08c12ee5027bf532d70b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bae3641660a270219092bef151a0c1c52e45a4b0171198886c36e7a30541175d",
    "cross_cats_sorted": [
      "cond-mat.other",
      "gr-qc",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-31T19:38:22Z",
    "title_canon_sha256": "d49708b9ea15e3f3265d6da27f218807df659c6a9149ff40d0dcdfbdfd338182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.10083",
    "kind": "arxiv",
    "version": 1
  }
}