Pith Number

pith:T3TTMJRK

pith:2013:T3TTMJRKCAQENBHCLQRUNI6DIA

not attested not anchored not stored refs pending

A singularly perturbed Dirichlet problem for the Laplace operator in a periodically perforated domain. A functional analytic approach

Paolo Musolino

arxiv:1306.6674 v1 · 2013-06-27 · 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{T3TTMJRKCAQENBHCLQRUNI6DIA}

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	2026-05-18T03:19:43.408103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ee736262a10204684e25c2346a3c3400157dc9f10093f830a91acc16cbdc5b0

Aliases

arxiv: 1306.6674 · arxiv_version: 1306.6674v1 · doi: 10.48550/arxiv.1306.6674 · pith_short_12: T3TTMJRKCAQE · pith_short_16: T3TTMJRKCAQENBHC · pith_short_8: T3TTMJRK

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/T3TTMJRKCAQENBHCLQRUNI6DIA \
  | 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: 9ee736262a10204684e25c2346a3c3400157dc9f10093f830a91acc16cbdc5b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f5c338d62f7cb6cbd56fdb1670781d53234519ed8c7efcd6c4f2ff971aa78f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-27T22:28:47Z",
    "title_canon_sha256": "98062414a1e50a38d68dd74d28fff7d7fd94f75aef04564845c8e3913bfad53f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6674",
    "kind": "arxiv",
    "version": 1
  }
}