Pith Number

pith:MTSJHNUV

pith:2018:MTSJHNUV2U6YTW5KL72Y7FB6N3

not attested not anchored not stored refs pending

Torus polynomials: an algebraic approach to ACC lower bounds

Abhishek Bhrushundi, Kaave Hosseini, Sankeerth Rao, Shachar Lovett

arxiv:1804.08176 v3 · 2018-04-22 · 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{MTSJHNUV2U6YTW5KL72Y7FB6N3}

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	2026-05-17T23:52:24.453173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64e493b695d53d89dbaa5ff58f943e6ee2f0d5f7363259ca1cbfb33f3758d275

Aliases

arxiv: 1804.08176 · arxiv_version: 1804.08176v3 · doi: 10.48550/arxiv.1804.08176 · pith_short_12: MTSJHNUV2U6Y · pith_short_16: MTSJHNUV2U6YTW5K · pith_short_8: MTSJHNUV

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/MTSJHNUV2U6YTW5KL72Y7FB6N3 \
  | 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: 64e493b695d53d89dbaa5ff58f943e6ee2f0d5f7363259ca1cbfb33f3758d275

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f206055b2fd3d2d1ced84468038a7c39d92371bddfe583c9b7cca8c093e21133",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2018-04-22T21:21:51Z",
    "title_canon_sha256": "675b6805a8e855a83257d87759595d2c42f69ce38a3aadbd50428e2e78bd797d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08176",
    "kind": "arxiv",
    "version": 3
  }
}