Pith Number

pith:AOLKTUZ4

pith:2014:AOLKTUZ47X7LPLWF3O4KBGTWZW

not attested not anchored not stored refs pending

Self-similar groups, automatic sequences, and unitriangular representations

R. Grigorchuk, V. Nekrashevych, V. Sushchansky, Y. Leonov

arxiv:1409.5027 v1 · 2014-09-17 · 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{AOLKTUZ47X7LPLWF3O4KBGTWZW}

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	2026-05-18T02:42:38.012651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0396a9d33cfdfeb7aec5dbb8a09a76cd8aada6571f4a50c26903ffc0152250e9

Aliases

arxiv: 1409.5027 · arxiv_version: 1409.5027v1 · doi: 10.48550/arxiv.1409.5027 · pith_short_12: AOLKTUZ47X7L · pith_short_16: AOLKTUZ47X7LPLWF · pith_short_8: AOLKTUZ4

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/AOLKTUZ47X7LPLWF3O4KBGTWZW \
  | 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: 0396a9d33cfdfeb7aec5dbb8a09a76cd8aada6571f4a50c26903ffc0152250e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce8ea67522c67d5ddb9cbb967211df0574ae1be2df73cc7d24cc4a7823ad328b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-09-17T15:24:25Z",
    "title_canon_sha256": "435f49d31fb9749eb36bf0da2cb1b043ade5012facc9ae0816517f090526c8e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5027",
    "kind": "arxiv",
    "version": 1
  }
}