Pith Number

pith:CM5SZKWW

pith:2013:CM5SZKWW2EUMJ2WPOEZKC4334D

not attested not anchored not stored refs pending

Orbital stability of standing waves of a class of fractional Schrodinger equations with a general Hartree-type integrand

H. Hajaiej, M.M. Fall, P.A. Markowich, S. Trabelsi, Y. Cho

arxiv:1307.5523 v1 · 2013-07-21 · 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{CM5SZKWW2EUMJ2WPOEZKC4334D}

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	2026-05-18T03:17:55.422067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

133b2caad6d128c4eacf7132a1737be0edc3b49d50a7b9060e20ec1933e8ec7b

Aliases

arxiv: 1307.5523 · arxiv_version: 1307.5523v1 · doi: 10.48550/arxiv.1307.5523 · pith_short_12: CM5SZKWW2EUM · pith_short_16: CM5SZKWW2EUMJ2WP · pith_short_8: CM5SZKWW

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/CM5SZKWW2EUMJ2WPOEZKC4334D \
  | 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: 133b2caad6d128c4eacf7132a1737be0edc3b49d50a7b9060e20ec1933e8ec7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77365e159ab945137915d157c1881b989741fe5e5c3b132c103454d09447368c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-21T12:08:21Z",
    "title_canon_sha256": "14a65b5c21365e0ff87895e87a00549946aa569d5bf3bcd2005e4e51baa6f47a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5523",
    "kind": "arxiv",
    "version": 1
  }
}