Pith Number

pith:X6XRV2HG

pith:2017:X6XRV2HG756GYSH6Q3BYK3MBQR

not attested not anchored not stored refs pending

Location of maximizers of eigenfunctions of fractional Schr\"odinger's equation

Anup Biswas

arxiv:1707.08392 v3 · 2017-07-26 · math.AP · math.PR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X6XRV2HG756GYSH6Q3BYK3MBQR}

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	2026-05-18T00:28:53.280128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfaf1ae8e6ff7c6c48fe86c3856d818453685b1f63ec83b3f73e948171bc4953

Aliases

arxiv: 1707.08392 · arxiv_version: 1707.08392v3 · doi: 10.48550/arxiv.1707.08392 · pith_short_12: X6XRV2HG756G · pith_short_16: X6XRV2HG756GYSH6 · pith_short_8: X6XRV2HG

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/X6XRV2HG756GYSH6Q3BYK3MBQR \
  | 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: bfaf1ae8e6ff7c6c48fe86c3856d818453685b1f63ec83b3f73e948171bc4953

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70f2568ed02b45d7670cc66c06de5f56aad17df9735fc602b78d346a626c650f",
    "cross_cats_sorted": [
      "math.PR",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-26T11:50:42Z",
    "title_canon_sha256": "a8690c61dc42e568477db4bc9b84888d362c04aa63fe99953bd6ae24973b8055"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08392",
    "kind": "arxiv",
    "version": 3
  }
}