Pith Number

pith:ALV7Y6KP

pith:2016:ALV7Y6KPNNRIQ24UT6XS3QDWTX

not attested not anchored not stored refs pending

Reducibility versus definability for pseudovarieties of semigroups

J. Almeida, O. Kl\'ima

arxiv:1606.04059 v1 · 2016-06-13 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALV7Y6KPNNRIQ24UT6XS3QDWTX}

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	2026-05-17T23:51:15.026662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02ebfc794f6b62886b949faf2dc0769dd0ce2c84659cc5b679e8820718063cf4

Aliases

arxiv: 1606.04059 · arxiv_version: 1606.04059v1 · doi: 10.48550/arxiv.1606.04059 · pith_short_12: ALV7Y6KPNNRI · pith_short_16: ALV7Y6KPNNRIQ24U · pith_short_8: ALV7Y6KP

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/ALV7Y6KPNNRIQ24UT6XS3QDWTX \
  | 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: 02ebfc794f6b62886b949faf2dc0769dd0ce2c84659cc5b679e8820718063cf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0251b7edfee68a8bdd0bcab66cdf9bfd393c43b948ab5fff919bf12be4fdc434",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-06-13T18:23:12Z",
    "title_canon_sha256": "a2b1dcd4aff6b4fb81fa7d2c8c11e019a8a5aebf2cb2f4e48a496e32cf249826"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04059",
    "kind": "arxiv",
    "version": 1
  }
}