Pith Number

pith:ACF3VECM

pith:2013:ACF3VECMOQXN2LNDN6O7QLOS7K

not attested not anchored not stored refs pending

Solutions to a nonlinear Schr\"odinger equation with periodic potential and zero on the boundary of the spectrum

Jaros{\l}aw Mederski

arxiv:1308.4320 v2 · 2013-08-20 · 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{ACF3VECMOQXN2LNDN6O7QLOS7K}

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	2026-05-18T01:19:00.657215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

008bba904c742edd2da36f9df82dd2faa192b01e9b8a449acb71c27f07091d85

Aliases

arxiv: 1308.4320 · arxiv_version: 1308.4320v2 · doi: 10.48550/arxiv.1308.4320 · pith_short_12: ACF3VECMOQXN · pith_short_16: ACF3VECMOQXN2LND · pith_short_8: ACF3VECM

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/ACF3VECMOQXN2LNDN6O7QLOS7K \
  | 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: 008bba904c742edd2da36f9df82dd2faa192b01e9b8a449acb71c27f07091d85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9543e0cdd5b6a795511a19c9855bf856ba055d1dc7701ec9c55b91ee7b46e3fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-20T14:31:26Z",
    "title_canon_sha256": "17b98167ed8663035126007ef6cb43500836312c09133efca970327bf6e05272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4320",
    "kind": "arxiv",
    "version": 2
  }
}