Pith Number

pith:ZKJDOYTZ

pith:2013:ZKJDOYTZHMLUYYSKWKGHFOX2CN

not attested not anchored not stored refs pending

Arithmetic Circuit Lower Bounds via MaxRank

Gaurav Maheshwari, Jayalal Sarma M.N, Mrinal Kumar

arxiv:1302.3308 v1 · 2013-02-14 · 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{ZKJDOYTZHMLUYYSKWKGHFOX2CN}

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	2026-05-18T03:33:39.250086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca923762793b174c624ab28c72bafa135b663018355e05797e0438e3a0aa9543

Aliases

arxiv: 1302.3308 · arxiv_version: 1302.3308v1 · doi: 10.48550/arxiv.1302.3308 · pith_short_12: ZKJDOYTZHMLU · pith_short_16: ZKJDOYTZHMLUYYSK · pith_short_8: ZKJDOYTZ

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/ZKJDOYTZHMLUYYSKWKGHFOX2CN \
  | 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: ca923762793b174c624ab28c72bafa135b663018355e05797e0438e3a0aa9543

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f37dde62f910d7976769cf080e92e8d0177e3f3ea4cbdf5266088f4f92dc068d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-02-14T04:25:56Z",
    "title_canon_sha256": "1a7e5c123ce6d2ec6e183ec373e880a6e349fabd2ef07494315a3ac5507d784b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3308",
    "kind": "arxiv",
    "version": 1
  }
}