Pith Number

pith:F3OPUJUY

pith:2014:F3OPUJUYJELO4OBQEULU3AW3AS

not attested not anchored not stored refs pending

The theorems of Schottky and Landau for analytic functions omitting the n-th roots of unity

Daniela Kraus, Oliver Roth

arxiv:1405.0383 v1 · 2014-05-02 · 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{F3OPUJUYJELO4OBQEULU3AW3AS}

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	2026-05-18T02:52:48.082095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2edcfa26984916ee383025174d82db0490bd2ce2d67668be39168e3e48022602

Aliases

arxiv: 1405.0383 · arxiv_version: 1405.0383v1 · doi: 10.48550/arxiv.1405.0383 · pith_short_12: F3OPUJUYJELO · pith_short_16: F3OPUJUYJELO4OBQ · pith_short_8: F3OPUJUY

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/F3OPUJUYJELO4OBQEULU3AW3AS \
  | 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: 2edcfa26984916ee383025174d82db0490bd2ce2d67668be39168e3e48022602

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d5a6e91811d6e7faae4458fa6e9499872b820f36e5e51c1b20d5f780e372015",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-05-02T11:35:55Z",
    "title_canon_sha256": "22b8787609d06de6b4648971153edcedeaf32c69c5cc9ec41f4f8452c385c3a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0383",
    "kind": "arxiv",
    "version": 1
  }
}