Pith Number

pith:UI5QY6ND

pith:2015:UI5QY6NDIDFFYHGDAAKFATUWLF

not attested not anchored not stored refs pending

Time delay for the Dirac equation

Ivan Naumkin, Ricardo Weder

arxiv:1506.08079 v1 · 2015-06-26 · math-ph · 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{UI5QY6NDIDFFYHGDAAKFATUWLF}

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	2026-07-05T01:04:43.762215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a23b0c79a340ca5c1cc30014504e96597c005354de3511b5c6428ffeba43f8cb

Aliases

arxiv: 1506.08079 · arxiv_version: 1506.08079v1 · doi: 10.48550/arxiv.1506.08079 · pith_short_12: UI5QY6NDIDFF · pith_short_16: UI5QY6NDIDFFYHGD · pith_short_8: UI5QY6ND

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/UI5QY6NDIDFFYHGDAAKFATUWLF \
  | 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: a23b0c79a340ca5c1cc30014504e96597c005354de3511b5c6428ffeba43f8cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "457f6b16f578e71a507a4db67885b2f57627a6c564e0acc34647ac4dda68fbf6",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-06-26T13:57:13Z",
    "title_canon_sha256": "699ef06ae8b544348ed979d2bc0f908a4b194a4c19cabb96c3a2671b09c98f45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08079",
    "kind": "arxiv",
    "version": 1
  }
}