Pith Number

pith:7QN7T4TV

pith:2014:7QN7T4TVNSKOJF7FSI6EKUJP3N

not attested not anchored not stored refs pending

A convergence theorem for harmonic measures with applications to Taylor series

Myrto Manolaki, Stephen J. Gardiner

arxiv:1412.2895 v1 · 2014-12-09 · 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{7QN7T4TVNSKOJF7FSI6EKUJP3N}

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	2026-05-18T02:31:45.601760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc1bf9f2756c94e497e5923c45512fdb7ebe38b46572707e53071619e83cbe76

Aliases

arxiv: 1412.2895 · arxiv_version: 1412.2895v1 · doi: 10.48550/arxiv.1412.2895 · pith_short_12: 7QN7T4TVNSKO · pith_short_16: 7QN7T4TVNSKOJF7F · pith_short_8: 7QN7T4TV

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/7QN7T4TVNSKOJF7FSI6EKUJP3N \
  | 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: fc1bf9f2756c94e497e5923c45512fdb7ebe38b46572707e53071619e83cbe76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "386e149e511ef04c3f18ea0d94a2020bc31ad72d3ca79eb324d7f9fb624a8668",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-12-09T09:56:27Z",
    "title_canon_sha256": "7f308653b18b9ffc1c25574a12a43938b83e10aa80ec00de66da70804085215e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2895",
    "kind": "arxiv",
    "version": 1
  }
}