Pith Number

pith:ZLL2DOVF

pith:2014:ZLL2DOVFSBU37LJTRI2Q4CECHO

not attested not anchored not stored refs pending

Singularities for solutions to time dependent Schr\"odingier equations with sub-quadratic potential

Keiichi Kato, Shingo Ito

arxiv:1408.1478 v2 · 2014-08-07 · math.AP · 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{ZLL2DOVFSBU37LJTRI2Q4CECHO}

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	2026-05-18T02:45:39.235711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cad7a1baa59069bfad338a350e08823ba721ca44d24f20c25ee963a841012d21

Aliases

arxiv: 1408.1478 · arxiv_version: 1408.1478v2 · doi: 10.48550/arxiv.1408.1478 · pith_short_12: ZLL2DOVFSBU3 · pith_short_16: ZLL2DOVFSBU37LJT · pith_short_8: ZLL2DOVF

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/ZLL2DOVFSBU37LJTRI2Q4CECHO \
  | 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: cad7a1baa59069bfad338a350e08823ba721ca44d24f20c25ee963a841012d21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f19a9dd3054b2728f76cd67b47a66e3eff89835908d0a8d1db15c1e06f6f01f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-08-07T06:10:22Z",
    "title_canon_sha256": "65c59ce715888817f1775a9463d35aff10223a1c9af54009599b8fe3ccc5ca2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1478",
    "kind": "arxiv",
    "version": 2
  }
}