Pith Number

pith:KOJV2GN4

pith:2017:KOJV2GN4YEM3WTO4GH4JUEHYQT

not attested not anchored not stored refs pending

Bound states in the continuum of fractional Schr\"odinger equation in the Earth's gravitational field and their effects in the presence of a minimal length: applications to distinguish ultralight particles

Bo Yang, Chaozhen Wei, Maokang Luo, Xiao Zhang

arxiv:1707.04089 v1 · 2017-07-12 · quant-ph · 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{KOJV2GN4YEM3WTO4GH4JUEHYQT}

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	2026-05-18T00:40:22.676313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53935d19bcc119bb4ddc31f89a10f884e04fed2493f836cdac921e2e46cf34b6

Aliases

arxiv: 1707.04089 · arxiv_version: 1707.04089v1 · doi: 10.48550/arxiv.1707.04089 · pith_short_12: KOJV2GN4YEM3 · pith_short_16: KOJV2GN4YEM3WTO4 · pith_short_8: KOJV2GN4

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/KOJV2GN4YEM3WTO4GH4JUEHYQT \
  | 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: 53935d19bcc119bb4ddc31f89a10f884e04fed2493f836cdac921e2e46cf34b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6914bd7eacc12d027fbb777237a457a94644c5a8e0da7c7a9c930e7fc77a53c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-07-12T02:53:36Z",
    "title_canon_sha256": "a194696863925b9bad89274806efcbca9e49ed8e459d193372d699ee54fc9ab9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04089",
    "kind": "arxiv",
    "version": 1
  }
}