Pith Number

pith:5NGZOSE5

pith:2012:5NGZOSE5WBV7PK5HNEKB6E2LCP

not attested not anchored not stored refs pending

Investigating self-similar groups using their finite $L$-presentation

Ren\'e Hartung

arxiv:1204.4279 v1 · 2012-04-19 · 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{5NGZOSE5WBV7PK5HNEKB6E2LCP}

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	2026-05-18T03:57:27.970019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb4d97489db06bf7aba769141f134b13c443bc3e810916b2a7916daf6406034f

Aliases

arxiv: 1204.4279 · arxiv_version: 1204.4279v1 · doi: 10.48550/arxiv.1204.4279 · pith_short_12: 5NGZOSE5WBV7 · pith_short_16: 5NGZOSE5WBV7PK5H · pith_short_8: 5NGZOSE5

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/5NGZOSE5WBV7PK5HNEKB6E2LCP \
  | 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: eb4d97489db06bf7aba769141f134b13c443bc3e810916b2a7916daf6406034f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d40218ae4d20d624d3e33307b082d90b1dfd0910a463989bc36884a5326841f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-04-19T08:17:43Z",
    "title_canon_sha256": "6274283bef75411eaa2ace73615a81f2d197c12d5618c6a926b4ebf4396e7af2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4279",
    "kind": "arxiv",
    "version": 1
  }
}