Pith Number

pith:6SOGUTZ2

pith:2011:6SOGUTZ2QLRLEOJIW4PHBCWV5L

not attested not anchored not stored refs pending

Nonnegative k-sums, fractional covers, and probability of small deviations

Benny Sudakov, Hao Huang, Noga Alon

arxiv:1104.1753 v2 · 2011-04-10 · 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{6SOGUTZ2QLRLEOJIW4PHBCWV5L}

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	2026-05-18T04:16:01.767378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f49c6a4f3a82e2b23928b71e708ad5eadaa5b9ee69286415f96b1a087448f913

Aliases

arxiv: 1104.1753 · arxiv_version: 1104.1753v2 · doi: 10.48550/arxiv.1104.1753 · pith_short_12: 6SOGUTZ2QLRL · pith_short_16: 6SOGUTZ2QLRLEOJI · pith_short_8: 6SOGUTZ2

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/6SOGUTZ2QLRLEOJIW4PHBCWV5L \
  | 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: f49c6a4f3a82e2b23928b71e708ad5eadaa5b9ee69286415f96b1a087448f913

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf40f7631fec3fbd489d81c0a33a849f41c01f85519a7990ef0349bd53b36774",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-10T07:56:15Z",
    "title_canon_sha256": "ebef3915119559b66ab52fc28c6317a758e9d7657b38af4fa589563ac9e79da7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1753",
    "kind": "arxiv",
    "version": 2
  }
}