Pith Number

pith:7F42LMU7

pith:2014:7F42LMU73KSZIKLHETYHQ5M4MH

not attested not anchored not stored refs pending

Uncertainty Relation of Functions for Kernel-based Transforms Obtained in Quantum Mechanics

Hong-yi Fan, Jun-Hua Chen

arxiv:1410.5507 v2 · 2014-10-21 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7F42LMU73KSZIKLHETYHQ5M4MH}

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	2026-05-18T02:38:59.132922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f979a5b29fdaa594296724f078759c61f2ef86f9c10bd39f4b146df3febddefa

Aliases

arxiv: 1410.5507 · arxiv_version: 1410.5507v2 · doi: 10.48550/arxiv.1410.5507 · pith_short_12: 7F42LMU73KSZ · pith_short_16: 7F42LMU73KSZIKLH · pith_short_8: 7F42LMU7

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/7F42LMU73KSZIKLHETYHQ5M4MH \
  | 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: f979a5b29fdaa594296724f078759c61f2ef86f9c10bd39f4b146df3febddefa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7565dca6b0f987b6b3acb04fedbb189b54e77f89f142973b0bb1a599e267c3bf",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-10-21T00:26:56Z",
    "title_canon_sha256": "04136a9dcfc53265061946c818f41c950d773195d5d6fa536230049923048cf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5507",
    "kind": "arxiv",
    "version": 2
  }
}