Pith Number

pith:6IO46ZUE

pith:2022:6IO46ZUEFWTXARQ2BHAPEQC23O

not attested not anchored not stored refs pending

The Park-Pham Theorem with Optimal Convergence Rate

Tolson Bell

arxiv:2210.03691 v2 · 2022-10-07 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6IO46ZUEFWTXARQ2BHAPEQC23O}

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	2026-07-05T06:11:42.766068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f21dcf66842da770461a09c0f2405adb9471f57f0b585add98bf50526ac1e310

Aliases

arxiv: 2210.03691 · arxiv_version: 2210.03691v2 · doi: 10.48550/arxiv.2210.03691 · pith_short_12: 6IO46ZUEFWTX · pith_short_16: 6IO46ZUEFWTXARQ2 · pith_short_8: 6IO46ZUE

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/6IO46ZUEFWTXARQ2BHAPEQC23O \
  | 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: f21dcf66842da770461a09c0f2405adb9471f57f0b585add98bf50526ac1e310

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ce98522eb59b754671de22539904ae8b9c10eb038a4791308c42cc57a833ff3",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-10-07T16:52:34Z",
    "title_canon_sha256": "63a553157a9a16301b722b1c89ee7607b9ebb3922bfcd18c50a8462cadeb8549"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.03691",
    "kind": "arxiv",
    "version": 2
  }
}