Pith Number

pith:YSXUOPCS

pith:2011:YSXUOPCSGV54D6QR2POB6OD5LG

not attested not anchored not stored refs pending

From automatic structures to automatic groups

Alexei Miasnikov, Bakhadyr Khoussainov, Olga Kharlampovich

arxiv:1107.3645 v2 · 2011-07-19 · math.GR · cs.FL · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YSXUOPCSGV54D6QR2POB6OD5LG}

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	2026-05-18T04:15:38.332758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4af473c52357bc1fa11d3dc1f387d59ae4baf8f6791585f00b70ec0488b2939

Aliases

arxiv: 1107.3645 · arxiv_version: 1107.3645v2 · doi: 10.48550/arxiv.1107.3645 · pith_short_12: YSXUOPCSGV54 · pith_short_16: YSXUOPCSGV54D6QR · pith_short_8: YSXUOPCS

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/YSXUOPCSGV54D6QR2POB6OD5LG \
  | 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: c4af473c52357bc1fa11d3dc1f387d59ae4baf8f6791585f00b70ec0488b2939

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4bc62a852eb1103c1bc7582ba3731cc3ee103b896931f439ac6e6011c8804dc",
    "cross_cats_sorted": [
      "cs.FL",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-07-19T08:06:47Z",
    "title_canon_sha256": "3b18c7178cd41316c303c33a4c3dea3bdcd9a0bd7bcb5c80921dd5d52516d6f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3645",
    "kind": "arxiv",
    "version": 2
  }
}