Pith Number

pith:4J2WEMII

pith:2023:4J2WEMIILFGCDXPGKDNKDALRBI

not attested not anchored not stored refs pending

Decay estimates for one Aharonov-Bohm solenoid in a uniform magnetic field II: wave equation

Fang Zhang, Haoran Wang, Junyong Zhang

arxiv:2309.07649 v1 · 2023-09-14 · math.AP · math.SP

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\usepackage{pith}
\pithnumber{4J2WEMIILFGCDXPGKDNKDALRBI}

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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

Decay estimates for massive Dirac equation in a constant magnetic field

Receipt and verification

First computed	2026-07-05T06:50:46.073118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e275623108594c21dde650daa181710a08a00dbbf8ae8679f50349d8a4c6b4de

Aliases

arxiv: 2309.07649 · arxiv_version: 2309.07649v1 · doi: 10.48550/arxiv.2309.07649 · pith_short_12: 4J2WEMIILFGC · pith_short_16: 4J2WEMIILFGCDXPG · pith_short_8: 4J2WEMII

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/4J2WEMIILFGCDXPGKDNKDALRBI \
  | 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: e275623108594c21dde650daa181710a08a00dbbf8ae8679f50349d8a4c6b4de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "513741d1a999d86b01609744c895fef7e5975892202ecb2dbb426eb775277a49",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-09-14T12:15:42Z",
    "title_canon_sha256": "03077e74f6ef79283cf8dddc3ba1f2c445af361655b2fbb1dc353296f73e8eeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.07649",
    "kind": "arxiv",
    "version": 1
  }
}