Pith Number

pith:K7LCPI5R

pith:2023:K7LCPI5RO4SRFTDH2P7BC5FCP3

not attested not anchored not stored refs pending

Large-scale dispersive estimates for acoustic operators: homogenization meets localization

Antoine Gloria, Mitia Duerinckx

arxiv:2304.14046 v3 · 2023-04-27 · math.AP · math-ph · 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{K7LCPI5RO4SRFTDH2P7BC5FCP3}

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.

Cited by

1 paper in Pith

Eigenfunctions with double exponential rate of localization

Receipt and verification

First computed	2026-07-05T10:44:35.970563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57d627a3b1772512cc67d3fe1174a27edc651bb9136c09296365684ff5c1b85a

Aliases

arxiv: 2304.14046 · arxiv_version: 2304.14046v3 · doi: 10.48550/arxiv.2304.14046 · pith_short_12: K7LCPI5RO4SR · pith_short_16: K7LCPI5RO4SRFTDH · pith_short_8: K7LCPI5R

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/K7LCPI5RO4SRFTDH2P7BC5FCP3 \
  | 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: 57d627a3b1772512cc67d3fe1174a27edc651bb9136c09296365684ff5c1b85a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ce7841cb0b69933edf9d8c88610d95c65bdbb69b965165a24a964fcf730deae",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-04-27T09:23:35Z",
    "title_canon_sha256": "0db542b0c7b2c3d7bd9f4b27cac5efd4ef69306099387236f979c319e39964b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.14046",
    "kind": "arxiv",
    "version": 3
  }
}