Pith Number

pith:UTTEU4V6

pith:2019:UTTEU4V6AZK2QM3HUXB43MRMMX

not attested not anchored not stored refs pending

Invertibility Threshold for Nevanlinna Quotient Algebras

Artur Nicolau, Pascal J. Thomas

arxiv:1904.06908 v1 · 2019-04-15 · math.CA · 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{UTTEU4V6AZK2QM3HUXB43MRMMX}

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	2026-05-17T23:48:35.780521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4e64a72be0655a83367a5c3cdb22c65c601cb4854ab5a599e2e23e728555725

Aliases

arxiv: 1904.06908 · arxiv_version: 1904.06908v1 · doi: 10.48550/arxiv.1904.06908 · pith_short_12: UTTEU4V6AZK2 · pith_short_16: UTTEU4V6AZK2QM3H · pith_short_8: UTTEU4V6

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/UTTEU4V6AZK2QM3HUXB43MRMMX \
  | 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: a4e64a72be0655a83367a5c3cdb22c65c601cb4854ab5a599e2e23e728555725

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73c5390961f875f7e19312940584dc75e614e4048b9d7158ea925baeaa60be6f",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-04-15T08:38:23Z",
    "title_canon_sha256": "7587ac317d1117410310137db776aad7cf3fc7807414e5f86463ff777c4f269b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06908",
    "kind": "arxiv",
    "version": 1
  }
}