Pith Number

pith:K5AZJSCD

pith:2010:K5AZJSCDSDOODSOLDG7FQ6ICNL

not attested not anchored not stored refs pending

Homogenization of spectral problem on Riemannian manifold consisting of two domains connected by many tubes

Andrii Khrabustovskyi

arxiv:1011.3931 v2 · 2010-11-17 · math.SP · math-ph · math.AP · 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{K5AZJSCDSDOODSOLDG7FQ6ICNL}

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	2026-05-18T02:30:01.529377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

574194c84390dce1c9cb19be5879026ae26eef5fe964451b730e89c67992975d

Aliases

arxiv: 1011.3931 · arxiv_version: 1011.3931v2 · doi: 10.48550/arxiv.1011.3931 · pith_short_12: K5AZJSCDSDOO · pith_short_16: K5AZJSCDSDOODSOL · pith_short_8: K5AZJSCD

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/K5AZJSCDSDOODSOLDG7FQ6ICNL \
  | 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: 574194c84390dce1c9cb19be5879026ae26eef5fe964451b730e89c67992975d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4194fc98e285bbd7c33e24a5ad5f5893ea89926d12cd66e6555e6abddd6005d",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-11-17T10:35:42Z",
    "title_canon_sha256": "6eddb61f23fef3bd6b061a692ffcb35081132229eb58fba2a784696851e614d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3931",
    "kind": "arxiv",
    "version": 2
  }
}