Pith Number

pith:YT5FKZUD

pith:2026:YT5FKZUDXW2VBO5S63W6YZEKBT

not attested not anchored not stored refs pending

An algorithm to exactly compute minimal upper bounds in the Loewner order

Adam Humeniuk, Gabriel Jarry-Bolduc, Nejaunie Williams, Patrick Pascua

arxiv:2606.18173 v1 · 2026-06-16 · math.FA · cs.NA · math.NA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YT5FKZUDXW2VBO5S63W6YZEKBT}

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	2026-06-19T16:10:50.249374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4fa556683bdb550bbb2f6edec648a0cd48cb4e09edeeeaceaf30b326e2a25de

Aliases

arxiv: 2606.18173 · arxiv_version: 2606.18173v1 · doi: 10.48550/arxiv.2606.18173 · pith_short_12: YT5FKZUDXW2V · pith_short_16: YT5FKZUDXW2VBO5S · pith_short_8: YT5FKZUD

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/YT5FKZUDXW2VBO5S63W6YZEKBT \
  | 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: c4fa556683bdb550bbb2f6edec648a0cd48cb4e09edeeeaceaf30b326e2a25de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c92e5a753123796bec5a97a530b36cca2fcf61c24b3251ca88c5938c83258629",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-16T17:08:55Z",
    "title_canon_sha256": "18ce7810fabf270330a1a0aae2f8771ccb66613bede46f320e9a903f9185a383"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18173",
    "kind": "arxiv",
    "version": 1
  }
}