Pith Number

pith:NRKWK236

pith:2012:NRKWK236J244XVLWZRC53ZQQBW

not attested not anchored not stored refs pending

Heisenberg uncertainty relation for photons

Iwo Bialynicki-Birula, Zofia Bialynicka-Birula

arxiv:1205.0516 v2 · 2012-05-02 · 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{NRKWK236J244XVLWZRC53ZQQBW}

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	2026-05-18T01:57:38.858902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c55656b7e4eb9cbd576cc45dde6100d94a4abc8cc8a7f60c04cb89251f93adf

Aliases

arxiv: 1205.0516 · arxiv_version: 1205.0516v2 · doi: 10.48550/arxiv.1205.0516 · pith_short_12: NRKWK236J244 · pith_short_16: NRKWK236J244XVLW · pith_short_8: NRKWK236

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/NRKWK236J244XVLWZRC53ZQQBW \
  | 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: 6c55656b7e4eb9cbd576cc45dde6100d94a4abc8cc8a7f60c04cb89251f93adf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea4695e80ab555104ee11acc5f28de77d7afa12c934fba495b9bfbb626826f8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-05-02T18:33:15Z",
    "title_canon_sha256": "94e91760b490230904fdc0af10caed801c2dae0ea4ecc3991084d62cf2125b72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0516",
    "kind": "arxiv",
    "version": 2
  }
}