Pith Number

pith:YZ2GKCUD

pith:2013:YZ2GKCUD4OQJUFL2MHM4XOWOGQ

not attested not anchored not stored refs pending

3-extremal holomorphic maps and the symmetrised bidisc

Jim Agler, N. J. Young, Zinaida A. Lykova

arxiv:1307.7081 v1 · 2013-07-26 · 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{YZ2GKCUD4OQJUFL2MHM4XOWOGQ}

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	2026-05-18T03:17:25.388738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c674650a83e3a09a157a61d9cbbace341ff1bd624c4356ded63417d6c36210ea

Aliases

arxiv: 1307.7081 · arxiv_version: 1307.7081v1 · doi: 10.48550/arxiv.1307.7081 · pith_short_12: YZ2GKCUD4OQJ · pith_short_16: YZ2GKCUD4OQJUFL2 · pith_short_8: YZ2GKCUD

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/YZ2GKCUD4OQJUFL2MHM4XOWOGQ \
  | 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: c674650a83e3a09a157a61d9cbbace341ff1bd624c4356ded63417d6c36210ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ddbfa538d12c3e0424d8c09ae6ae8b3eb412c44a878bde112e5e5af27d8190e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-07-26T15:55:46Z",
    "title_canon_sha256": "12462832976179d1455dff1e26949d9a7e292c150837f3ccf35bd9918100dc08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7081",
    "kind": "arxiv",
    "version": 1
  }
}