Pith Number

pith:UI5J5N5U

pith:2020:UI5J5N5UF57NP7PHCIJJHSAGX3

not attested not anchored not stored refs pending

An elliptic adaptation of ideas of Carleman and Domar from complex analysis related to Levinson's log log theorem

Alexander Logunov, Hristo Papazov

arxiv:2012.07169 v2 · 2020-12-13 · math.AP · 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{UI5J5N5UF57NP7PHCIJJHSAGX3}

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	2026-07-05T02:55:09.791198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a23a9eb7b42f7ed7fde7121293c806bec8aaa19814f6379a38283cc608bd59e1

Aliases

arxiv: 2012.07169 · arxiv_version: 2012.07169v2 · doi: 10.48550/arxiv.2012.07169 · pith_short_12: UI5J5N5UF57N · pith_short_16: UI5J5N5UF57NP7PH · pith_short_8: UI5J5N5U

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/UI5J5N5UF57NP7PHCIJJHSAGX3 \
  | 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: a23a9eb7b42f7ed7fde7121293c806bec8aaa19814f6379a38283cc608bd59e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d223b5fdf76405fb71fb2e68fb4570e7f35d7196ad338331af4b5c62e317ab11",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-12-13T22:22:22Z",
    "title_canon_sha256": "b3a86f57901e1ef7a1ab5a4cf5f262912978b34808542d9e1de1704e9b0df31d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.07169",
    "kind": "arxiv",
    "version": 2
  }
}