Pith Number

pith:AWWMGE2F

pith:2013:AWWMGE2FDHIZKYNBLQJCJRVCHJ

not attested not anchored not stored refs pending

Improved entropic uncertainty relations and information exclusion relations

Marco Piani, Patrick J. Coles

arxiv:1307.4265 v2 · 2013-07-16 · 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{AWWMGE2FDHIZKYNBLQJCJRVCHJ}

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	2026-05-18T02:57:52.790772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05acc3134519d19561a15c1224c6a23a672d039b6f669440d7eedf33d2961a6d

Aliases

arxiv: 1307.4265 · arxiv_version: 1307.4265v2 · doi: 10.48550/arxiv.1307.4265 · pith_short_12: AWWMGE2FDHIZ · pith_short_16: AWWMGE2FDHIZKYNB · pith_short_8: AWWMGE2F

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/AWWMGE2FDHIZKYNBLQJCJRVCHJ \
  | 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: 05acc3134519d19561a15c1224c6a23a672d039b6f669440d7eedf33d2961a6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7f35ef8e76d8c994ebb512a80b5b179e811e78575ca4a7b12a485201602e233",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-07-16T13:09:10Z",
    "title_canon_sha256": "b80302c8d2c6830255b534e7890fb0d519b79c8856649296c85ac9a40f121873"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4265",
    "kind": "arxiv",
    "version": 2
  }
}