Pith Number

pith:VYQUZX2G

pith:2013:VYQUZX2GSRXFV25E7DANOGXH4S

not attested not anchored not stored refs pending

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

Paolo Musolino

arxiv:1307.1612 v1 · 2013-07-05 · 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{VYQUZX2GSRXFV25E7DANOGXH4S}

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	2026-05-18T03:19:12.402981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae214cdf46946e5aeba4f8c0d71ae7e4a3a088cb6b62998313164156e1d6a11a

Aliases

arxiv: 1307.1612 · arxiv_version: 1307.1612v1 · doi: 10.48550/arxiv.1307.1612 · pith_short_12: VYQUZX2GSRXF · pith_short_16: VYQUZX2GSRXFV25E · pith_short_8: VYQUZX2G

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/VYQUZX2GSRXFV25E7DANOGXH4S \
  | 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: ae214cdf46946e5aeba4f8c0d71ae7e4a3a088cb6b62998313164156e1d6a11a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "239afb7847b288ee5c390cb5f60c360c6645320a2ba978a1884d73c56a2e5091",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-05T13:35:50Z",
    "title_canon_sha256": "9336a10d58c3a3b5f812fdc4304a252a6a2ad6866ded2f4a2b70f02693849041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1612",
    "kind": "arxiv",
    "version": 1
  }
}