Pith Number

pith:CIMHVRIG

pith:2010:CIMHVRIGFMA2NO6PCGYUXZGKQS

not attested not anchored not stored refs pending

An improved bound for the Manickam-Mikl\'os-Singhi conjecture

Mykhaylo Tyomkyn

arxiv:1011.2803 v1 · 2010-11-12 · 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{CIMHVRIGFMA2NO6PCGYUXZGKQS}

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	2026-05-18T04:36:08.146237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12187ac5062b01a6bbcf11b14be4ca84b0e4765143ebc94c56d40b9f5861a095

Aliases

arxiv: 1011.2803 · arxiv_version: 1011.2803v1 · doi: 10.48550/arxiv.1011.2803 · pith_short_12: CIMHVRIGFMA2 · pith_short_16: CIMHVRIGFMA2NO6P · pith_short_8: CIMHVRIG

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/CIMHVRIGFMA2NO6PCGYUXZGKQS \
  | 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: 12187ac5062b01a6bbcf11b14be4ca84b0e4765143ebc94c56d40b9f5861a095

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01f96614a775e4324424ac4da2cd3c9c9fdfd40f8ee3f05b43811bd0b5c621bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-12T01:09:47Z",
    "title_canon_sha256": "dcecae05d5deb5f018ba723be627516295265802ef9d7293fbe14b9bb91d4025"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2803",
    "kind": "arxiv",
    "version": 1
  }
}