Pith Number

pith:3K62NI2I

pith:2018:3K62NI2IPS5O3O77XXNZ2IO6BZ

not attested not anchored not stored refs pending

Maximal scarring for eigenfunctions of quantum graphs

Brian Winn, Gregory Berkolaiko

arxiv:1803.08311 v2 · 2018-03-22 · math-ph · math.MP · 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{3K62NI2IPS5O3O77XXNZ2IO6BZ}

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	2026-05-18T00:04:59.178335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dabda6a3487cbaedbbffbddb9d21de0e7d78d75dd5540af590ffcb4a86c6a57e

Aliases

arxiv: 1803.08311 · arxiv_version: 1803.08311v2 · doi: 10.48550/arxiv.1803.08311 · pith_short_12: 3K62NI2IPS5O · pith_short_16: 3K62NI2IPS5O3O77 · pith_short_8: 3K62NI2I

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/3K62NI2IPS5O3O77XXNZ2IO6BZ \
  | 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: dabda6a3487cbaedbbffbddb9d21de0e7d78d75dd5540af590ffcb4a86c6a57e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df06f33aa459bc6af7de2016b272bb9e6ce8df1b89432cb8c031cc6c76cfd121",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-03-22T11:32:11Z",
    "title_canon_sha256": "e61fb7f932acd430ac53d41f10d1c1ec1c8e48577d2e91cf8a5e596699d02481"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08311",
    "kind": "arxiv",
    "version": 2
  }
}