Pith Number

pith:JZYW5OGK

pith:2011:JZYW5OGKXUUSKD3V63QJTQWAII

not attested not anchored not stored refs pending

Inverse scattering theory for discrete Schr\"odinger operators on the hexagonal lattice

Kazunori Ando

arxiv:1110.3922 v1 · 2011-10-18 · 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{JZYW5OGKXUUSKD3V63QJTQWAII}

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	2026-05-18T04:10:47.679889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e716eb8cabd29250f75f6e099c2c0423fc64e6bfb8082afbd33f18b89ed2822

Aliases

arxiv: 1110.3922 · arxiv_version: 1110.3922v1 · doi: 10.48550/arxiv.1110.3922 · pith_short_12: JZYW5OGKXUUS · pith_short_16: JZYW5OGKXUUSKD3V · pith_short_8: JZYW5OGK

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/JZYW5OGKXUUSKD3V63QJTQWAII \
  | 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: 4e716eb8cabd29250f75f6e099c2c0423fc64e6bfb8082afbd33f18b89ed2822

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1568e90c8c025847a18a0f5e48f3cfae7f2584ceab6859c948be0c555a10bd41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-10-18T09:45:32Z",
    "title_canon_sha256": "dbe3dfb230ad32f8554e885993342a0e4c0f5888e3f62220d1327a9e9d7e83e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3922",
    "kind": "arxiv",
    "version": 1
  }
}