Pith Number

pith:Y3VLB3XE

pith:2010:Y3VLB3XEL2NNZGYBJ35LEHY354

not attested not anchored not stored refs pending

Quantum mechanics of a free particle from properties of the Dirac delta function

Denys I. Bondar, Robert R. Lompay, Wing-Ki Liu

arxiv:1007.4243 v2 · 2010-07-24 · 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{Y3VLB3XEL2NNZGYBJ35LEHY354}

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	2026-05-18T04:26:33.123609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6eab0eee45e9adc9b014efab21f1bef121bc6ac3ec9e29f20bbd1ae9fad17e6

Aliases

arxiv: 1007.4243 · arxiv_version: 1007.4243v2 · doi: 10.48550/arxiv.1007.4243 · pith_short_12: Y3VLB3XEL2NN · pith_short_16: Y3VLB3XEL2NNZGYB · pith_short_8: Y3VLB3XE

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/Y3VLB3XEL2NNZGYBJ35LEHY354 \
  | 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: c6eab0eee45e9adc9b014efab21f1bef121bc6ac3ec9e29f20bbd1ae9fad17e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f26e63adf80b65af23de912aacf364c4a228b09cc172868e624c8e889775f0ca",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-07-24T04:00:47Z",
    "title_canon_sha256": "fa6fccf7818a589472b387d04e95208d769e029d8be24a0d122277e6be094d96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4243",
    "kind": "arxiv",
    "version": 2
  }
}