Pith Number

pith:4EOQVPOB

pith:2020:4EOQVPOBEAJ2754DG3VTUZF3YV

not attested not anchored not stored refs pending

Monotone Circuit Lower Bounds from Robust Sunflowers

Benjamin Rossman, Bruno Pasqualotto Cavalar, Mrinal Kumar

arxiv:2012.03883 v2 · 2020-12-07 · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4EOQVPOBEAJ2754DG3VTUZF3YV}

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	2026-07-05T04:46:10.493644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e11d0abdc12013aff78336eb3a64bbc55c48d8f9ea0cefd63a9a07c08a15dd26

Aliases

arxiv: 2012.03883 · arxiv_version: 2012.03883v2 · doi: 10.48550/arxiv.2012.03883 · pith_short_12: 4EOQVPOBEAJ2 · pith_short_16: 4EOQVPOBEAJ2754D · pith_short_8: 4EOQVPOB

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/4EOQVPOBEAJ2754DG3VTUZF3YV \
  | 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: e11d0abdc12013aff78336eb3a64bbc55c48d8f9ea0cefd63a9a07c08a15dd26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25b43bbfc2734659e43f7e6e30dd22fabbe4a367fa87028e405e8be7eb9a8acf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2020-12-07T18:00:32Z",
    "title_canon_sha256": "a5a0697f417f9812b4e0b6354869d98469a571b4092c189b81922aaa1095c64c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.03883",
    "kind": "arxiv",
    "version": 2
  }
}