Pith Number

pith:GKZTMMPO

pith:2019:GKZTMMPOB3LJD366IH6MTFF4GL

not attested not anchored not stored refs pending

On Explicit Branching Programs for the Rectangular Determinant and Permanent Polynomials

Abhranil Chatterjee, Partha Mukhopadhyay, Rajit Datta, V. Arvind

arxiv:1908.08347 v1 · 2019-08-22 · 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{GKZTMMPOB3LJD366IH6MTFF4GL}

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	2026-07-04T23:59:12.006741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32b33631ee0ed691efde41fcc994bc32cc4cb564811816a7b5b31c26fc6a286f

Aliases

arxiv: 1908.08347 · arxiv_version: 1908.08347v1 · doi: 10.48550/arxiv.1908.08347 · pith_short_12: GKZTMMPOB3LJ · pith_short_16: GKZTMMPOB3LJD366 · pith_short_8: GKZTMMPO

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/GKZTMMPOB3LJD366IH6MTFF4GL \
  | 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: 32b33631ee0ed691efde41fcc994bc32cc4cb564811816a7b5b31c26fc6a286f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e286d3085cd007e88c85120b7282b9c74b162e55770ee4b3e32f64b7f5b6fb96",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2019-08-22T13:01:28Z",
    "title_canon_sha256": "ea9400ce460b5604b21e9b22040a2899c24d95224ccdcc6a2ab5969bfc25fc6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08347",
    "kind": "arxiv",
    "version": 1
  }
}