Pith Number

pith:IYSJJ4UP

pith:2026:IYSJJ4UPWJG4GCONJHB5KERIIZ

not attested not anchored not stored refs pending

Dirac Wave Functions of Positive Energy with Arbitrarily Small Position Uncertainty

Ilmar B\"urck, Roderich Tumulka

arxiv:2603.04569 v3 · 2026-03-04 · 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{IYSJJ4UPWJG4GCONJHB5KERIIZ}

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.

Cited by

1 paper in Pith

Representation of the causal logic for the Dirac system and the electron

Receipt and verification

First computed	2026-07-07T01:16:07.310907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

462494f28fb24dc309cd49c3d512284661af97dbc13f9d594abefda4e0454741

Aliases

arxiv: 2603.04569 · arxiv_version: 2603.04569v3 · doi: 10.48550/arxiv.2603.04569 · pith_short_12: IYSJJ4UPWJG4 · pith_short_16: IYSJJ4UPWJG4GCON · pith_short_8: IYSJJ4UP

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/IYSJJ4UPWJG4GCONJHB5KERIIZ \
  | 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: 462494f28fb24dc309cd49c3d512284661af97dbc13f9d594abefda4e0454741

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "926eb2dd3c059c09dc04919797df97afc64ef68432d84753e8019a58ee79e7c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-03-04T19:56:07Z",
    "title_canon_sha256": "6ff8ce32a407b623702291373942da6d49d952166fff1c3777b8b02998f983f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.04569",
    "kind": "arxiv",
    "version": 3
  }
}