Pith Number

pith:Y7LTSQBY

pith:2015:Y7LTSQBYDXDZ636OIPCWKSLUPX

not attested not anchored not stored refs pending

Delocalization of quasimodes on the disk

Fabricio Maci\`a, Matthieu L\'eautaud, Nalini Anantharaman

arxiv:1504.04234 v1 · 2015-04-16 · math.AP · math-ph · math.MP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y7LTSQBYDXDZ636OIPCWKSLUPX}

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	2026-05-18T02:18:39.470511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7d73940381dc79f6fce43c56549747dfc86a175e716f14450396329045c2ef3

Aliases

arxiv: 1504.04234 · arxiv_version: 1504.04234v1 · doi: 10.48550/arxiv.1504.04234 · pith_short_12: Y7LTSQBYDXDZ · pith_short_16: Y7LTSQBYDXDZ636O · pith_short_8: Y7LTSQBY

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/Y7LTSQBYDXDZ636OIPCWKSLUPX \
  | 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: c7d73940381dc79f6fce43c56549747dfc86a175e716f14450396329045c2ef3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccda0bfc9d4ddd39887871b9a353b5b9252cf52a445619e3655cecd4df6f3fa9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-16T14:01:32Z",
    "title_canon_sha256": "dfeaa77a7da99c7f4eb01e9f05d6027b214b327d724775da4a5ec07d61037f1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04234",
    "kind": "arxiv",
    "version": 1
  }
}