Pith Number

pith:LWVCGXJV

pith:2013:LWVCGXJVUH3PV2P6F2UHE3VHAX

not attested not anchored not stored refs pending

Spectral perturbation theory and the two weights problem

Alexander Pushnitski, Alexander Volberg

arxiv:1306.1912 v1 · 2013-06-08 · math.CA · 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{LWVCGXJVUH3PV2P6F2UHE3VHAX}

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	2026-05-18T03:21:22.890417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5daa235d35a1f6fae9fe2ea8726ea705c45a503751528929678ebcb1e231bc11

Aliases

arxiv: 1306.1912 · arxiv_version: 1306.1912v1 · doi: 10.48550/arxiv.1306.1912 · pith_short_12: LWVCGXJVUH3P · pith_short_16: LWVCGXJVUH3PV2P6 · pith_short_8: LWVCGXJV

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/LWVCGXJVUH3PV2P6F2UHE3VHAX \
  | 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: 5daa235d35a1f6fae9fe2ea8726ea705c45a503751528929678ebcb1e231bc11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "153bb4fbcc14302d7e282359b2eb07ce355f7de78a224946f00c1f1ba6bbde95",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-06-08T12:52:36Z",
    "title_canon_sha256": "ac2058f3d41437695d987f9cad058347a5b75d62f873c18b3b4ccf96c7a4d63e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1912",
    "kind": "arxiv",
    "version": 1
  }
}