Pith Number

pith:UQTDKL5K

pith:2010:UQTDKL5KWHJK5BBO2WMECFQ66R

not attested not anchored not stored refs pending

A new approach to the 2-variable subnormal completion problem

Jasang Yoon, Raul E. Curto, Sang Hoon Lee

arxiv:1004.5187 v1 · 2010-04-29 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UQTDKL5KWHJK5BBO2WMECFQ66R}

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	2026-05-18T02:24:15.168290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a426352faab1d2ae842ed59841161ef46772d1021531e4d9901d18bbdfba8e8d

Aliases

arxiv: 1004.5187 · arxiv_version: 1004.5187v1 · doi: 10.48550/arxiv.1004.5187 · pith_short_12: UQTDKL5KWHJK · pith_short_16: UQTDKL5KWHJK5BBO · pith_short_8: UQTDKL5K

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/UQTDKL5KWHJK5BBO2WMECFQ66R \
  | 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: a426352faab1d2ae842ed59841161ef46772d1021531e4d9901d18bbdfba8e8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d0576e0dfc402c92a15cd5c1f68943537e2be429b82051e2390f8db10bc78a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-04-29T05:48:54Z",
    "title_canon_sha256": "e3592ba7bb0874fe8dba126d77e411ce784856ee69e8faeb2351dff856e6cf6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5187",
    "kind": "arxiv",
    "version": 1
  }
}