Pith Number

pith:IFVFBVN5

pith:2019:IFVFBVN5NGEX3CBPMZWPXQLT7E

not attested not anchored not stored refs pending

Asymptotics and estimates of the discrete spectrum of the Schrodinger operator on a discrete periodic graph

Evgeny Korotyaev, Vladimir Sloushch

arxiv:1903.11810 v1 · 2019-03-28 · 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{IFVFBVN5NGEX3CBPMZWPXQLT7E}

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	2026-05-17T23:49:59.046347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

416a50d5bd69897d882f666cfbc173f92d9b0673e92fd1890b603fb8bc17ab07

Aliases

arxiv: 1903.11810 · arxiv_version: 1903.11810v1 · doi: 10.48550/arxiv.1903.11810 · pith_short_12: IFVFBVN5NGEX · pith_short_16: IFVFBVN5NGEX3CBP · pith_short_8: IFVFBVN5

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/IFVFBVN5NGEX3CBPMZWPXQLT7E \
  | 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: 416a50d5bd69897d882f666cfbc173f92d9b0673e92fd1890b603fb8bc17ab07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "481786018e71f1192017cf47fc11e0d0daf0b0c4073b65ea239fde037c4665aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-03-28T07:15:40Z",
    "title_canon_sha256": "011e19a109163ed3b8976a475256fdeca73193aaf9207bf24424ab783ad26ef2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.11810",
    "kind": "arxiv",
    "version": 1
  }
}