Pith Number

pith:DEPPA44P

pith:2022:DEPPA44PJKIZHFCICEPBGGONK6

not attested not anchored not stored refs pending

Approximate union closed conjecture

Shachar Lovett, Zachary Chase

arxiv:2211.11689 v1 · 2022-11-21 · 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{DEPPA44PJKIZHFCICEPBGGONK6}

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.

Cited by

1 paper in Pith

Redundancy Is All You Need (for CSP Sparsification)

Receipt and verification

First computed	2026-07-05T05:17:56.888347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

191ef0738f4a91939448111e1319cd579fccab7bfef20d70dc4e531976d80568

Aliases

arxiv: 2211.11689 · arxiv_version: 2211.11689v1 · doi: 10.48550/arxiv.2211.11689 · pith_short_12: DEPPA44PJKIZ · pith_short_16: DEPPA44PJKIZHFCI · pith_short_8: DEPPA44P

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/DEPPA44PJKIZHFCICEPBGGONK6 \
  | 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: 191ef0738f4a91939448111e1319cd579fccab7bfef20d70dc4e531976d80568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a112527d3fec19ccc5f3fdfeb18dfc5c94d2ad49202264aec48db6b01ffaab6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-11-21T18:04:53Z",
    "title_canon_sha256": "163e69c70536d585143e7ea512679bb259451317bc406f6a5fd2e8073d9fdded"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.11689",
    "kind": "arxiv",
    "version": 1
  }
}