pith. sign in
Pith Number

pith:24YLYCID

pith:2013:24YLYCID4TZKLDG4HIGILHKT73
not attested not anchored not stored refs pending

Real analytic families of harmonic functions in a domain with a small hole

Matteo Dalla Riva, Paolo Musolino

arxiv:1306.6185 v1 · 2013-06-26 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{24YLYCID4TZKLDG4HIGILHKT73}

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 2026-05-18T03:19:55.791175Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d730bc0903e4f2a58cdc3a0c859d53fec4adc63622dbf75c2ea96bd5534aef5e

Aliases

arxiv: 1306.6185 · arxiv_version: 1306.6185v1 · doi: 10.48550/arxiv.1306.6185 · pith_short_12: 24YLYCID4TZK · pith_short_16: 24YLYCID4TZKLDG4 · pith_short_8: 24YLYCID
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/24YLYCID4TZKLDG4HIGILHKT73 \
  | 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: d730bc0903e4f2a58cdc3a0c859d53fec4adc63622dbf75c2ea96bd5534aef5e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4077cbc0f18dbf35f2f4e359a269f907838eccda5406bce3c420d1da38f61684",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-26T09:41:48Z",
    "title_canon_sha256": "c3aaf22e538ac8758610a0bc8946c5512bf5d8b26a2d5f96a728ad7ba867ce35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6185",
    "kind": "arxiv",
    "version": 1
  }
}