Pith Number

pith:LH5ZKENJ

pith:2014:LH5ZKENJOYCV77USTYYPS7N6YD

not attested not anchored not stored refs pending

A mathematical theory of super-resolution by using a system of sub-wavelength Helmholtz resonators

Habib Ammari, Hai Zhang

arxiv:1405.2513 v1 · 2014-05-11 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LH5ZKENJOYCV77USTYYPS7N6YD}

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	2026-05-18T01:43:15.332014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59fb9511a976055ffe929e30f97dbec0c62333c1d87ba93776147b155063f05f

Aliases

arxiv: 1405.2513 · arxiv_version: 1405.2513v1 · doi: 10.48550/arxiv.1405.2513 · pith_short_12: LH5ZKENJOYCV · pith_short_16: LH5ZKENJOYCV77US · pith_short_8: LH5ZKENJ

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/LH5ZKENJOYCV77USTYYPS7N6YD \
  | 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: 59fb9511a976055ffe929e30f97dbec0c62333c1d87ba93776147b155063f05f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67f7856fd5ca40490c34e8715b764da59161f8e1ef97a0723dc0ebe6740e61a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-05-11T09:44:58Z",
    "title_canon_sha256": "1118f8674bfaa575e3dc95b655693bcab4ec0534ac39e00b5e7c38fa1c7f7871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2513",
    "kind": "arxiv",
    "version": 1
  }
}