Pith Number

pith:CERDHRR5

pith:2011:CERDHRR5AFS73JFBR34JR3AOQ2

not attested not anchored not stored refs pending

Particle-wave duality: a dichotomy between symmetry and asymmetry

Joan A. Vaccaro

arxiv:1105.0083 v2 · 2011-04-30 · 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{CERDHRR5AFS73JFBR34JR3AOQ2}

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	2026-05-18T03:59:47.806420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

112233c63d0165fda4a18ef898ec0e86b14d1916b34f98d4bbeed80c7493f6a1

Aliases

arxiv: 1105.0083 · arxiv_version: 1105.0083v2 · doi: 10.48550/arxiv.1105.0083 · pith_short_12: CERDHRR5AFS7 · pith_short_16: CERDHRR5AFS73JFB · pith_short_8: CERDHRR5

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/CERDHRR5AFS73JFBR34JR3AOQ2 \
  | 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: 112233c63d0165fda4a18ef898ec0e86b14d1916b34f98d4bbeed80c7493f6a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c2a82b4cb1539ebbbfdd822fe978e03662e8ca666dd9185e47de81f0f3d3033",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-04-30T12:47:20Z",
    "title_canon_sha256": "5628b5dc3fc5974bd888217dc71e58b5955e150c04f042f77f1163ee0756390f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0083",
    "kind": "arxiv",
    "version": 2
  }
}