Pith Number

pith:ZPS7A7FB

pith:2017:ZPS7A7FB5TPDCCTNCIUSK6K6RZ

not attested not anchored not stored refs pending

Dirac Quantization Condition Holds with Nonzero Photon Mass

Alfred Scharff Goldhaber, Ricardo Heras

arxiv:1710.03321 v1 · 2017-10-09 · 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{ZPS7A7FB5TPDCCTNCIUSK6K6RZ}

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	2026-05-18T00:33:12.396605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbe5f07ca1ecde310a6d122925795e8e7965b2ff0a80cbcd0b326af174fddde4

Aliases

arxiv: 1710.03321 · arxiv_version: 1710.03321v1 · doi: 10.48550/arxiv.1710.03321 · pith_short_12: ZPS7A7FB5TPD · pith_short_16: ZPS7A7FB5TPDCCTN · pith_short_8: ZPS7A7FB

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/ZPS7A7FB5TPDCCTNCIUSK6K6RZ \
  | 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: cbe5f07ca1ecde310a6d122925795e8e7965b2ff0a80cbcd0b326af174fddde4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a112694736e6c1be328f697b735979a09c0b11910d6e1c7d61f238eae6536e0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-10-09T21:24:12Z",
    "title_canon_sha256": "d2691e1734d9af22c59ef2dd0d3fdfdeb6e8617c3e3f20e86b5c5b237534c168"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03321",
    "kind": "arxiv",
    "version": 1
  }
}