Pith Number

pith:MQAYEPRY

pith:2015:MQAYEPRYVDWUJYENRCYQTH63FX

not attested not anchored not stored refs pending

Uncertainty principle, Shannon-Nyquist sampling and beyond

Kazuo Fujikawa, Mo-Lin Ge, Qing Zhao, Yu-Long Liu

arxiv:1504.01467 v1 · 2015-04-07 · quant-ph · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MQAYEPRYVDWUJYENRCYQTH63FX}

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	2026-05-18T01:55:00.983263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6401823e38a8ed44e08d88b1099fdb2dc6c7c4f0669cbdbd5d00710383e30694

Aliases

arxiv: 1504.01467 · arxiv_version: 1504.01467v1 · doi: 10.48550/arxiv.1504.01467 · pith_short_12: MQAYEPRYVDWU · pith_short_16: MQAYEPRYVDWUJYEN · pith_short_8: MQAYEPRY

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/MQAYEPRYVDWUJYENRCYQTH63FX \
  | 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: 6401823e38a8ed44e08d88b1099fdb2dc6c7c4f0669cbdbd5d00710383e30694

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b3a3cae5083b705bcd5dd18a4a1c5d2e55898abd1b30eb90ce5283ffe19adc2",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-04-07T03:53:43Z",
    "title_canon_sha256": "0429fb8f49163e695a4d82ed623583b1786bad5ca2ba49e87601c662d7180c22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01467",
    "kind": "arxiv",
    "version": 1
  }
}