Pith Number

pith:5CTQNJSC

pith:2015:5CTQNJSCAX7ITRHTIW4YUZBZCS

not attested not anchored not stored refs pending

A weighted estimate for two dimensional Schrodinger, matrix schrodinger and wave equations with resonance of first kind at zero energy

Ebru Toprak

arxiv:1509.03204 v1 · 2015-09-10 · 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{5CTQNJSCAX7ITRHTIW4YUZBZCS}

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	2026-05-18T00:03:50.627231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8a706a64205fe89c4f345b98a643914a9350d145ebdedbfd679edc9271f93bb

Aliases

arxiv: 1509.03204 · arxiv_version: 1509.03204v1 · doi: 10.48550/arxiv.1509.03204 · pith_short_12: 5CTQNJSCAX7I · pith_short_16: 5CTQNJSCAX7ITRHT · pith_short_8: 5CTQNJSC

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/5CTQNJSCAX7ITRHTIW4YUZBZCS \
  | 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: e8a706a64205fe89c4f345b98a643914a9350d145ebdedbfd679edc9271f93bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6176691c74e53d3c86c3c7a417ae14ae9dbdc45ced6c8d33ff397e321d661a6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-10T15:57:20Z",
    "title_canon_sha256": "ac8accef2413c1118cf0ac549bd2969f5b2658bda066144eb94b5f91dfe2a3eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03204",
    "kind": "arxiv",
    "version": 1
  }
}