Pith Number

pith:KTN3CFWT

pith:2026:KTN3CFWT7Y3FUMRAQTCCS3D3BD

not attested not anchored not stored refs pending

Adjacent comparison bounds and extremal sets for Ruzsa numbers

Huixi Li, Junfeng Li, Wei Niu, Xiamiao Zhao, Yuchen Ding

arxiv:2606.11069 v1 · 2026-06-09 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KTN3CFWT7Y3FUMRAQTCCS3D3BD}

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	2026-06-10T01:11:08.111899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54dbb116d3fe365a322084c4296c7b08de1dd0abf75f8837a07ad18ab847bb66

Aliases

arxiv: 2606.11069 · arxiv_version: 2606.11069v1 · doi: 10.48550/arxiv.2606.11069 · pith_short_12: KTN3CFWT7Y3F · pith_short_16: KTN3CFWT7Y3FUMRA · pith_short_8: KTN3CFWT

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/KTN3CFWT7Y3FUMRAQTCCS3D3BD \
  | 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: 54dbb116d3fe365a322084c4296c7b08de1dd0abf75f8837a07ad18ab847bb66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de5963c94f17d471bd7a8f1f939b8d66d792a038fb0934866c5b49dcc99375bc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-09T16:31:06Z",
    "title_canon_sha256": "ba3d64ffdd286f348b31def1b75df9a89b357e51e95edd848abd6c8f1ee96d9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11069",
    "kind": "arxiv",
    "version": 1
  }
}