Pith Number

pith:VWWMS6CO

pith:2010:VWWMS6COXUX7SOE4CBILMMMK7C

not attested not anchored not stored refs pending

Low lying spectrum of weak-disorder quantum waveguides

Denis Borisov, Ivan Veselic'

arxiv:1010.0315 v2 · 2010-10-02 · math.SP · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VWWMS6COXUX7SOE4CBILMMMK7C}

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	2026-05-18T02:05:12.369285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adacc9784ebd2ff9389c1050b6318af8a7fbc56dbdf4ba60a03c2b28b6ca6988

Aliases

arxiv: 1010.0315 · arxiv_version: 1010.0315v2 · doi: 10.48550/arxiv.1010.0315 · pith_short_12: VWWMS6COXUX7 · pith_short_16: VWWMS6COXUX7SOE4 · pith_short_8: VWWMS6CO

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/VWWMS6COXUX7SOE4CBILMMMK7C \
  | 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: adacc9784ebd2ff9389c1050b6318af8a7fbc56dbdf4ba60a03c2b28b6ca6988

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70da6112b7fce43b5139cb11cc0a7ae629630cac2550fc2f670a205d66101d16",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-10-02T09:12:35Z",
    "title_canon_sha256": "3ab6bab6410ade7f8a1083fabed2884f725c515b0e116a2cd3e4a71a6888e4db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0315",
    "kind": "arxiv",
    "version": 2
  }
}