Pith Number

pith:3SCDY7HZ

pith:2014:3SCDY7HZ5J34X7IFRNOKWAJ53G

not attested not anchored not stored refs pending

Depth Lower Bounds against Circuits with Sparse Orientation

Jayalal Sarma, Sajin Koroth

arxiv:1404.7443 v2 · 2014-04-29 · 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{3SCDY7HZ5J34X7IFRNOKWAJ53G}

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	2026-05-18T02:28:05.313883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc843c7cf9ea77cbfd058b5cab013dd9812210282e4a4ac1f68306999416eeed

Aliases

arxiv: 1404.7443 · arxiv_version: 1404.7443v2 · doi: 10.48550/arxiv.1404.7443 · pith_short_12: 3SCDY7HZ5J34 · pith_short_16: 3SCDY7HZ5J34X7IF · pith_short_8: 3SCDY7HZ

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/3SCDY7HZ5J34X7IFRNOKWAJ53G \
  | 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: dc843c7cf9ea77cbfd058b5cab013dd9812210282e4a4ac1f68306999416eeed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "785eab6d924afd8c4435144517294fa979cf3ebea63846335f21d0a7eb83330d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-04-29T17:57:47Z",
    "title_canon_sha256": "9d029539243975db480a97d45d9378e0594089b86d985041bb71fd82b8c00123"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7443",
    "kind": "arxiv",
    "version": 2
  }
}