Pith Number

pith:SFJ3EGXF

pith:2019:SFJ3EGXFK4SPUIXMNYZZ4V2ALF

not attested not anchored not stored refs pending

Parameterized Valiant's Classes

Christian Engels, Markus Blaeser

arxiv:1907.12287 v2 · 2019-07-29 · 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{SFJ3EGXFK4SPUIXMNYZZ4V2ALF}

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.

Cited by

1 paper in Pith

Kronecker products and iterated matrix multiplication

Receipt and verification

First computed	2026-07-05T00:21:14.382121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9153b21ae55724fa22ec6e339e5740594a28e85c4f7485d4664fa4d20f7147ab

Aliases

arxiv: 1907.12287 · arxiv_version: 1907.12287v2 · doi: 10.48550/arxiv.1907.12287 · pith_short_12: SFJ3EGXFK4SP · pith_short_16: SFJ3EGXFK4SPUIXM · pith_short_8: SFJ3EGXF

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/SFJ3EGXFK4SPUIXMNYZZ4V2ALF \
  | 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: 9153b21ae55724fa22ec6e339e5740594a28e85c4f7485d4664fa4d20f7147ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2160760aeeb86d1e92ef00af228ae85fb6722ea72b324ddcc4f29bbc8ffc7b7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2019-07-29T09:03:31Z",
    "title_canon_sha256": "2a218f8b1431ad6e7a4c754128bdbe3f7050bbadb6dfa1773419daddc02bdba5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.12287",
    "kind": "arxiv",
    "version": 2
  }
}