Pith Number

pith:44AUHH6B

pith:2012:44AUHH6BFZPV3NLC7CU4WPHYYL

not attested not anchored not stored refs pending

On words that are concise in residually finite groups

Cristina Acciarri, Pavel Shumyatsky

arxiv:1212.0581 v1 · 2012-12-03 · 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{44AUHH6BFZPV3NLC7CU4WPHYYL}

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	2026-05-18T03:39:15.720336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e701439fc12e5f5db562f8a9cb3cf8c2f672b259ca5a79e392eb73c386ce96e3

Aliases

arxiv: 1212.0581 · arxiv_version: 1212.0581v1 · doi: 10.48550/arxiv.1212.0581 · pith_short_12: 44AUHH6BFZPV · pith_short_16: 44AUHH6BFZPV3NLC · pith_short_8: 44AUHH6B

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/44AUHH6BFZPV3NLC7CU4WPHYYL \
  | 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: e701439fc12e5f5db562f8a9cb3cf8c2f672b259ca5a79e392eb73c386ce96e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a776b853706086602ea11e1e7c24085823a692e250d1867ade0b979e7bff5102",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-12-03T22:49:05Z",
    "title_canon_sha256": "e51860c1618e5e78ddd81d0f1e00cf92c0359facacd0e7a9a34bad4bbf28934c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0581",
    "kind": "arxiv",
    "version": 1
  }
}