Pith Number

pith:XEIRDOWZ

pith:2020:XEIRDOWZM2JOAMWXCXG2HBH263

not attested not anchored not stored refs pending

Log-rank and lifting for AND-functions

Alexander Knop, Sam McGuire, Shachar Lovett, Weiqiang Yuan

arxiv:2010.08994 v2 · 2020-10-18 · cs.CC · 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{XEIRDOWZM2JOAMWXCXG2HBH263}

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	2026-07-05T01:45:20.548396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b91111bad96692e032d715cda384faf6f006b3892052223674b40cf4f33c6d0a

Aliases

arxiv: 2010.08994 · arxiv_version: 2010.08994v2 · doi: 10.48550/arxiv.2010.08994 · pith_short_12: XEIRDOWZM2JO · pith_short_16: XEIRDOWZM2JOAMWX · pith_short_8: XEIRDOWZ

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/XEIRDOWZM2JOAMWXCXG2HBH263 \
  | 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: b91111bad96692e032d715cda384faf6f006b3892052223674b40cf4f33c6d0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bd50434ff6395a7cf0c6366d1744c4fd19ccce06d152cf5cb6b52a24387618f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2020-10-18T14:22:05Z",
    "title_canon_sha256": "324a2fcbc637bdd8ef7310059ad895a33689c5eb4b0cd79aa0dc93cd90a3e00a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.08994",
    "kind": "arxiv",
    "version": 2
  }
}