Pith Number

pith:S6GLSBMV

pith:2011:S6GLSBMVSILRS7AZPRHGM5PJYI

not attested not anchored not stored refs pending

A Reidemeister-Schreier theorem for finitely $L$-presented groups

Ren\'e Hartung

arxiv:1108.2403 v1 · 2011-08-11 · 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{S6GLSBMVSILRS7AZPRHGM5PJYI}

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	2026-05-18T04:15:37.776199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

978cb905959217197c197c4e6675e9c227198177e1a022c1e438a2beda43e813

Aliases

arxiv: 1108.2403 · arxiv_version: 1108.2403v1 · doi: 10.48550/arxiv.1108.2403 · pith_short_12: S6GLSBMVSILR · pith_short_16: S6GLSBMVSILRS7AZ · pith_short_8: S6GLSBMV

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/S6GLSBMVSILRS7AZPRHGM5PJYI \
  | 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: 978cb905959217197c197c4e6675e9c227198177e1a022c1e438a2beda43e813

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9a5573dc9c52ffa0388168ea8326b37572a3fd3b0cf8fd79f31932842c25af7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-08-11T13:53:16Z",
    "title_canon_sha256": "fdc758a08682714815b7981563bcba69a5aa0ce667d63766326fbfffd6c20382"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2403",
    "kind": "arxiv",
    "version": 1
  }
}