Pith Number

pith:GJY2BFHA

pith:2010:GJY2BFHANMXIW5OOJFJNRPIGXS

not attested not anchored not stored refs pending

Exhausting domains of the symmetrized bidisc

Peter Pflug, Wlodzimierz Zwonek

arxiv:1008.4010 v1 · 2010-08-24 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJY2BFHANMXIW5OOJFJNRPIGXS}

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	2026-05-18T02:05:43.396698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3271a094e06b2e8b75ce4952d8bd06bcaa7ab01ff28bf82de07f89dbaa9783af

Aliases

arxiv: 1008.4010 · arxiv_version: 1008.4010v1 · doi: 10.48550/arxiv.1008.4010 · pith_short_12: GJY2BFHANMXI · pith_short_16: GJY2BFHANMXIW5OO · pith_short_8: GJY2BFHA

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/GJY2BFHANMXIW5OOJFJNRPIGXS \
  | 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: 3271a094e06b2e8b75ce4952d8bd06bcaa7ab01ff28bf82de07f89dbaa9783af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5469fa3e046e26382c6da98d0ae22a358ab83659fe63b9891f6089854bdedd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-08-24T11:04:19Z",
    "title_canon_sha256": "5ec828d982e4541655dd4c0ff2ffa91492f2c7ad851fd744057061763442edbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4010",
    "kind": "arxiv",
    "version": 1
  }
}