Pith Number

pith:PBECY73W

pith:2025:PBECY73WG75LMKXCGDHZABSFEO

not attested not anchored not stored refs pending

Unveiling the role of vector potential in the Aharonov-Bohm effect

Masashi Wakamatsu

arxiv:2506.07018 v1 · 2025-06-08 · quant-ph · hep-ph · nucl-th · physics.ed-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{PBECY73WG75LMKXCGDHZABSFEO}

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	2026-07-05T11:17:59.803615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78482c7f7637fab62ae230cf9006452390f533481123bfd9e11656f78482d235

Aliases

arxiv: 2506.07018 · arxiv_version: 2506.07018v1 · doi: 10.48550/arxiv.2506.07018 · pith_short_12: PBECY73WG75L · pith_short_16: PBECY73WG75LMKXC · pith_short_8: PBECY73W

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/PBECY73WG75LMKXCGDHZABSFEO \
  | 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: 78482c7f7637fab62ae230cf9006452390f533481123bfd9e11656f78482d235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d19bd82d75b793d53d6f1af8003ef08fbfc3f55523252b61675317570ee476ad",
    "cross_cats_sorted": [
      "hep-ph",
      "nucl-th",
      "physics.ed-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-06-08T06:54:48Z",
    "title_canon_sha256": "d83c138cd93af0f82ef4711ee423ebf99471e74cb3d138bcc482cb0d35b05122"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07018",
    "kind": "arxiv",
    "version": 1
  }
}