Pith Number

pith:IDFIWR6K

pith:2018:IDFIWR6K5VPUS6EZ674CLB5R6E

not attested not anchored not stored refs pending

A lower bound for the $k$-multicolored sum-free problem in $\mathbb{Z}^n_m$

L\'aszl\'o Mikl\'os Lov\'asz, Lisa Sauermann

arxiv:1804.08837 v2 · 2018-04-24 · 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{IDFIWR6K5VPUS6EZ674CLB5R6E}

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	2026-05-17T23:57:36.594353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40ca8b47caed5f497899f7f82587b1f136fde98015ff2477e8d4c69e926fc375

Aliases

arxiv: 1804.08837 · arxiv_version: 1804.08837v2 · doi: 10.48550/arxiv.1804.08837 · pith_short_12: IDFIWR6K5VPU · pith_short_16: IDFIWR6K5VPUS6EZ · pith_short_8: IDFIWR6K

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/IDFIWR6K5VPUS6EZ674CLB5R6E \
  | 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: 40ca8b47caed5f497899f7f82587b1f136fde98015ff2477e8d4c69e926fc375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07685a10821ed92122c2926731d35a590fb9deb09f53d7b78e70f9b33ce37f81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-24T04:25:39Z",
    "title_canon_sha256": "33d8d8be037e34a5d26c684252f0e5ea59d49ff134df845d6a7e35925355fb01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08837",
    "kind": "arxiv",
    "version": 2
  }
}