Pith Number

pith:SOFSQXIT

pith:2017:SOFSQXITR4DBPYJNO7GOVAIRXQ

not attested not anchored not stored refs pending

Lifshits tails for randomly twisted quantum waveguides

David Krejcirik, Georgi Raikov, Werner Kirsch

arxiv:1705.04772 v2 · 2017-05-12 · math.SP · math-ph · math.AP · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SOFSQXITR4DBPYJNO7GOVAIRXQ}

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	2026-05-18T00:00:09.237115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

938b285d138f0617e12d77ccea8111bc1636d3423e200df73561afcccd6c8430

Aliases

arxiv: 1705.04772 · arxiv_version: 1705.04772v2 · doi: 10.48550/arxiv.1705.04772 · pith_short_12: SOFSQXITR4DB · pith_short_16: SOFSQXITR4DBPYJN · pith_short_8: SOFSQXIT

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/SOFSQXITR4DBPYJNO7GOVAIRXQ \
  | 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: 938b285d138f0617e12d77ccea8111bc1636d3423e200df73561afcccd6c8430

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b1081db0f6a3ea51e44c460e9cacbd7d29341f1d8d7b6229819fc18e435adfc",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-05-12T23:57:15Z",
    "title_canon_sha256": "ffe446c1f099398de90a7c755541f58805fdda21ceecbbcab91e5a0b128c8093"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04772",
    "kind": "arxiv",
    "version": 2
  }
}