Pith Number

pith:AAI6QJN6

pith:2016:AAI6QJN6LERQW23OZYO3Y66NWX

not attested not anchored not stored refs pending

Amenability of groups is characterized by Myhill's Theorem

Dawid Kielak, Laurent Bartholdi

arxiv:1605.09133 v2 · 2016-05-30 · cs.FL · 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{AAI6QJN6LERQW23OZYO3Y66NWX}

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	2026-05-18T01:12:41.627338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0011e825be59230b6b6ece1dbc7bcdb5d615ae7ed7a10945666dec1658ac2932

Aliases

arxiv: 1605.09133 · arxiv_version: 1605.09133v2 · doi: 10.48550/arxiv.1605.09133 · pith_short_12: AAI6QJN6LERQ · pith_short_16: AAI6QJN6LERQW23O · pith_short_8: AAI6QJN6

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/AAI6QJN6LERQW23OZYO3Y66NWX \
  | 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: 0011e825be59230b6b6ece1dbc7bcdb5d615ae7ed7a10945666dec1658ac2932

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "748a0836e99aa231f990fddb40baf774b22ee4d437a868e1e7d1190ad89886cd",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2016-05-30T08:14:59Z",
    "title_canon_sha256": "795a74794523c06f62fe1dada397121289059c7db9407e76419a21adc10f4825"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09133",
    "kind": "arxiv",
    "version": 2
  }
}