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Pith Number

pith:ZCJSHE3V

pith:2018:ZCJSHE3VB7AILSRCTQ7VIAZXET
not attested not anchored not stored refs pending

Path integral and Sommerfeld quantization

Mikoto Matsuda, Takehisa Fujita

arxiv:1809.04416 v1 · 2018-08-18 · physics.gen-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZCJSHE3VB7AILSRCTQ7VIAZXET}

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 2026-05-18T00:05:52.452796Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c8932393750fc085ca229c3f54033724c1a3da14897a3e93d6b29988ade4e207

Aliases

arxiv: 1809.04416 · arxiv_version: 1809.04416v1 · doi: 10.48550/arxiv.1809.04416 · pith_short_12: ZCJSHE3VB7AI · pith_short_16: ZCJSHE3VB7AILSRC · pith_short_8: ZCJSHE3V
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZCJSHE3VB7AILSRCTQ7VIAZXET \
  | 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: c8932393750fc085ca229c3f54033724c1a3da14897a3e93d6b29988ade4e207
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "39476a4e4d0c5cfd369907d1482a857c38c0f96f0abc67e076885ff6863614ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2018-08-18T15:13:16Z",
    "title_canon_sha256": "9aaac46d2ed0a8a924a55c5995c16b6c7af0085d2f55c787b7b8b20248ebc07c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04416",
    "kind": "arxiv",
    "version": 1
  }
}