Pith Number

pith:VKI7PWOS

pith:2003:VKI7PWOS4B7XNPCKH6PRMH2YKA

not attested not anchored not stored refs pending

The failure of rational dilation on a triply connected domain

Michael A. Dritschel, Scott McCullough

arxiv:math/0310398 v1 · 2003-10-24 · math.FA · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKI7PWOS4B7XNPCKH6PRMH2YKA}

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	2026-05-18T01:05:28.568409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa91f7d9d2e07f76bc4a3f9f161f58502bbfe6641d518e2f52fd0022f1f20771

Aliases

arxiv: math/0310398 · arxiv_version: math/0310398v1 · doi: 10.48550/arxiv.math/0310398 · pith_short_12: VKI7PWOS4B7X · pith_short_16: VKI7PWOS4B7XNPCK · pith_short_8: VKI7PWOS

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/VKI7PWOS4B7XNPCKH6PRMH2YKA \
  | 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: aa91f7d9d2e07f76bc4a3f9f161f58502bbfe6641d518e2f52fd0022f1f20771

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "909ef2c5c8c68874e50b915c2c5ab30e04c20d248dd916e9b870ac0b7906dbc5",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2003-10-24T22:20:47Z",
    "title_canon_sha256": "b5329596d2e4e5b9b095540646b73e590fb1f29b0ce9731b9f6cd2020460f7f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0310398",
    "kind": "arxiv",
    "version": 1
  }
}