Pith Number

pith:LFRGQ5AK

pith:2013:LFRGQ5AKNLMRM7GPPWNKVUYFQT

not attested not anchored not stored refs pending

On transitivity and (non)amenability of Aut(F_n) actions on group presentations

Aglaia Myropolska, Tatiana Nagnibeda

arxiv:1309.0271 v3 · 2013-09-01 · 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{LFRGQ5AKNLMRM7GPPWNKVUYFQT}

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	2026-05-18T01:21:14.038100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

596268740a6ad9167ccf7d9aaad30584efd5343cb2effc691d4eca002e60f443

Aliases

arxiv: 1309.0271 · arxiv_version: 1309.0271v3 · doi: 10.48550/arxiv.1309.0271 · pith_short_12: LFRGQ5AKNLMR · pith_short_16: LFRGQ5AKNLMRM7GP · pith_short_8: LFRGQ5AK

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/LFRGQ5AKNLMRM7GPPWNKVUYFQT \
  | 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: 596268740a6ad9167ccf7d9aaad30584efd5343cb2effc691d4eca002e60f443

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e404481e6a324e08887d05110227a94d68684f7bafaabb895a4cb8b6ffae348b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-09-01T22:10:31Z",
    "title_canon_sha256": "ba189b5409f279b32d8798b15ad68c2d4a477a39331877a2e47384782d24227c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0271",
    "kind": "arxiv",
    "version": 3
  }
}