Pith Number

pith:R3ZMBIVD

pith:2019:R3ZMBIVDQ3A4EMANK7C4WOVSXW

not attested not anchored not stored refs pending

The Role of Vacuum Fluctuations and Symmetry in the Hydrogen Atom in Quantum Mechanics and Stochastic Electrodynamics (SED)

G. Jordan Maclay

arxiv:1908.07343 v1 · 2019-08-19 · 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{R3ZMBIVDQ3A4EMANK7C4WOVSXW}

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	2026-07-04T23:58:33.480680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ef2c0a2a386c1c2300d57c5cb3ab2bd80f18a85ac750d3074fd7eb4896f8ecb

Aliases

arxiv: 1908.07343 · arxiv_version: 1908.07343v1 · doi: 10.48550/arxiv.1908.07343 · pith_short_12: R3ZMBIVDQ3A4 · pith_short_16: R3ZMBIVDQ3A4EMAN · pith_short_8: R3ZMBIVD

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/R3ZMBIVDQ3A4EMANK7C4WOVSXW \
  | 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: 8ef2c0a2a386c1c2300d57c5cb3ab2bd80f18a85ac750d3074fd7eb4896f8ecb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3df8c21cb3ecf4a97615f3feedaac8fe7ac0318fb42b688ac332fb29c575910",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-08-19T04:21:50Z",
    "title_canon_sha256": "219121dd0ff240040dc741e7a937177535a322e9cde1dd25910e5a5f770ceacb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07343",
    "kind": "arxiv",
    "version": 1
  }
}