Pith Number

pith:OF65DETA

pith:2017:OF65DETACVMBC44E57VLHER6TG

not attested not anchored not stored refs pending

Carath\'eodory extremal functions on the symmetrized bidisc

Jim Agler, N. J. Young, Zinaida Lykova

arxiv:1712.00749 v2 · 2017-12-03 · 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{OF65DETACVMBC44E57VLHER6TG}

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	2026-05-18T00:16:44.557891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

717dd192601558117384efeab3923e99b100c0a6f5087e168a71d41bb9cdde62

Aliases

arxiv: 1712.00749 · arxiv_version: 1712.00749v2 · doi: 10.48550/arxiv.1712.00749 · pith_short_12: OF65DETACVMB · pith_short_16: OF65DETACVMBC44E · pith_short_8: OF65DETA

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/OF65DETACVMBC44E57VLHER6TG \
  | 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: 717dd192601558117384efeab3923e99b100c0a6f5087e168a71d41bb9cdde62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9de42e403af7d561605d25c1e7bdb83fe1d4d9119eb2571a188a7869f7bbb05b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-12-03T10:50:07Z",
    "title_canon_sha256": "582416b1d46dcf8e49b8c0263c7cd8593a3a5892bbbfc7ba0245c45d25925fff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00749",
    "kind": "arxiv",
    "version": 2
  }
}