Pith Number

pith:LPUGAU4W

pith:2024:LPUGAU4WMJV6JWHEJ63IVJRAMF

not attested not anchored not stored refs pending

Induced arithmetic removal for partition-regular patterns of complexity 1

V. Gladkova

arxiv:2412.15170 v3 · 2024-12-19 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LPUGAU4WMJV6JWHEJ63IVJRAMF}

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	2026-06-09T02:08:27.870377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5be8605396626be4d8e44fb68aa620615f651e7835dd9ca7ec4bf8863b34fbc4

Aliases

arxiv: 2412.15170 · arxiv_version: 2412.15170v3 · doi: 10.48550/arxiv.2412.15170 · pith_short_12: LPUGAU4WMJV6 · pith_short_16: LPUGAU4WMJV6JWHE · pith_short_8: LPUGAU4W

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/LPUGAU4WMJV6JWHEJ63IVJRAMF \
  | 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: 5be8605396626be4d8e44fb68aa620615f651e7835dd9ca7ec4bf8863b34fbc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e01b7fc6a600fca9d54d4058c4188128f645251bf7e624ca306486f91f440394",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-19T18:46:04Z",
    "title_canon_sha256": "349eac4570a8c11b4ac56e7473da0bee32462b802b74988d08cd600df232400e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15170",
    "kind": "arxiv",
    "version": 3
  }
}