Pith Number

pith:52YJKWQV

pith:2010:52YJKWQVFF2YK7VZEUODDO4SYS

not attested not anchored not stored refs pending

Orbits of linear maps and regular languages

M. Vyalyi, S. Tarasov

arxiv:1011.1842 v2 · 2010-11-08 · cs.FL · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52YJKWQVFF2YK7VZEUODDO4SYS}

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	2026-05-18T04:34:08.628125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeb0955a152975857eb9251c31bb92c4a1705fc7d520f5f6c7295ece1bfbadc5

Aliases

arxiv: 1011.1842 · arxiv_version: 1011.1842v2 · doi: 10.48550/arxiv.1011.1842 · pith_short_12: 52YJKWQVFF2Y · pith_short_16: 52YJKWQVFF2YK7VZ · pith_short_8: 52YJKWQV

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/52YJKWQVFF2YK7VZEUODDO4SYS \
  | 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: eeb0955a152975857eb9251c31bb92c4a1705fc7d520f5f6c7295ece1bfbadc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6e31d2e0e5f6c126cbcc10ffb31fcd65436debc371f705bde746017c8cb9b9c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2010-11-08T16:35:06Z",
    "title_canon_sha256": "d0ae65991c1e66eac0834de806fad27d86f3ab1c6e1cd9e753881294f6b79799"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1842",
    "kind": "arxiv",
    "version": 2
  }
}