Pith Number

pith:K3MVFPKZ

pith:2016:K3MVFPKZCR5LVY6Q5Q6VZRNFVN

not attested not anchored not stored refs pending

Primitive sets of nonnegative matrices and synchronizing automata

Bal\'azs Gerencs\'er, Rapha\"el M. Jungers, Vladimir V. Gusev

arxiv:1602.07556 v1 · 2016-02-24 · cs.FL · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K3MVFPKZCR5LVY6Q5Q6VZRNFVN}

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	2026-05-18T01:20:02.662667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56d952bd59147abae3d0ec3d5cc5a5ab6741a4fe388dd310cccfca0aa45bf360

Aliases

arxiv: 1602.07556 · arxiv_version: 1602.07556v1 · doi: 10.48550/arxiv.1602.07556 · pith_short_12: K3MVFPKZCR5L · pith_short_16: K3MVFPKZCR5LVY6Q · pith_short_8: K3MVFPKZ

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/K3MVFPKZCR5LVY6Q5Q6VZRNFVN \
  | 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: 56d952bd59147abae3d0ec3d5cc5a5ab6741a4fe388dd310cccfca0aa45bf360

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e96970b0f68e1a9a4353380aa7fd25c5ae1b27f4b36fba9bd06280484a6788ea",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2016-02-24T15:26:19Z",
    "title_canon_sha256": "1eb1e6d02e72b6e38c12da9e789caeebaf6bf5519edf80e2d27dea0ced6487ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07556",
    "kind": "arxiv",
    "version": 1
  }
}