Pith Number

pith:AFHKDYOF

pith:2021:AFHKDYOFBCFRX7YB6DVYPJH6XN

not attested not anchored not stored refs pending

Optimal Spectral-Norm Approximate Minimization of Weighted Finite Automata

Borja Balle, Clara Lacroce, Doina Precup, Guillaume Rabusseau, Prakash Panangaden

arxiv:2102.06860 v3 · 2021-02-13 · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AFHKDYOFBCFRX7YB6DVYPJH6XN}

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	2026-07-05T02:40:32.181475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

014ea1e1c5088b1bff01f0eb87a4febb55efec46524b56f5622e7e5e7373bebc

Aliases

arxiv: 2102.06860 · arxiv_version: 2102.06860v3 · doi: 10.48550/arxiv.2102.06860 · pith_short_12: AFHKDYOFBCFR · pith_short_16: AFHKDYOFBCFRX7YB · pith_short_8: AFHKDYOF

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/AFHKDYOFBCFRX7YB6DVYPJH6XN \
  | 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: 014ea1e1c5088b1bff01f0eb87a4febb55efec46524b56f5622e7e5e7373bebc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83444bffc3ea8608a843724cb26daf39e08413f002cab9de7fd4b7e108765193",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2021-02-13T04:54:46Z",
    "title_canon_sha256": "26ca6d87f41846e3f4117cc8fd27a0f0f703fb490bf22ce0ac7fbbfdfb6119a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.06860",
    "kind": "arxiv",
    "version": 3
  }
}