Pith Number

pith:Y474WR53

pith:2013:Y474WR53YF45NLRL2GDMZWLZ2H

not attested not anchored not stored refs pending

Depth-4 Lower Bounds, Determinantal Complexity : A Unified Approach

Partha Mukhopadhyay, Suryajith Chillara

arxiv:1308.1640 v4 · 2013-08-07 · 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{Y474WR53YF45NLRL2GDMZWLZ2H}

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	2026-05-18T03:07:03.635913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c73fcb47bbc179d6ae2bd186ccd979d1e70ad2a8a2d6a9ffefd1bcf7cef34fbe

Aliases

arxiv: 1308.1640 · arxiv_version: 1308.1640v4 · doi: 10.48550/arxiv.1308.1640 · pith_short_12: Y474WR53YF45 · pith_short_16: Y474WR53YF45NLRL · pith_short_8: Y474WR53

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/Y474WR53YF45NLRL2GDMZWLZ2H \
  | 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: c73fcb47bbc179d6ae2bd186ccd979d1e70ad2a8a2d6a9ffefd1bcf7cef34fbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd306cbe352295aa3719a094b8aaa01455c73f5e544ae4adba17b6dced61ea58",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-08-07T17:21:16Z",
    "title_canon_sha256": "4ce79e55e5ded3b60dd8c6980eb54f65658481f168d758ffd933fb306a6af2ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1640",
    "kind": "arxiv",
    "version": 4
  }
}