Pith Number

pith:UMAFPWSV

pith:2019:UMAFPWSVWFW46OW4345NWE7HWI

not attested not anchored not stored refs pending

On a Fractional Schr\"odinger equation in the presence of Harmonic potential

Hichem Hajaiej, Zhiyan Ding

arxiv:1908.05719 v2 · 2019-08-15 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMAFPWSVWFW46OW4345NWE7HWI}

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	2026-07-05T10:25:00.450716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a30057da55b16dcf3adcdf3adb13e7b23f56c2e10244b54a200ca250278d2d83

Aliases

arxiv: 1908.05719 · arxiv_version: 1908.05719v2 · doi: 10.48550/arxiv.1908.05719 · pith_short_12: UMAFPWSVWFW4 · pith_short_16: UMAFPWSVWFW46OW4 · pith_short_8: UMAFPWSV

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/UMAFPWSVWFW46OW4345NWE7HWI \
  | 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: a30057da55b16dcf3adcdf3adb13e7b23f56c2e10244b54a200ca250278d2d83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6af8771475f09eec36b8ef89a65107ac3d4c1248f0ccaa219a84ee435fd14725",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-15T19:25:39Z",
    "title_canon_sha256": "a2e9a43cdd3eab75dd676715f2b15844ac8b433ec85a84b84be8055d23abc7f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05719",
    "kind": "arxiv",
    "version": 2
  }
}