Pith Number

pith:YAIZ5X6V

pith:2012:YAIZ5X6VIMDBUSUUPEMLUA5I3A

not attested not anchored not stored refs pending

An efficient algorithm for finding a basis of the fixed point subgroup of an automorphism of a free group

Oleg Bogopolski, Olga Maslakova

arxiv:1204.6728 v6 · 2012-04-30 · 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{YAIZ5X6VIMDBUSUUPEMLUA5I3A}

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	2026-05-18T03:02:17.925787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0119edfd543061a4a947918ba03a8d8017bb72e6cd790ca51c1d56cc5585a31

Aliases

arxiv: 1204.6728 · arxiv_version: 1204.6728v6 · doi: 10.48550/arxiv.1204.6728 · pith_short_12: YAIZ5X6VIMDB · pith_short_16: YAIZ5X6VIMDBUSUU · pith_short_8: YAIZ5X6V

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/YAIZ5X6VIMDBUSUUPEMLUA5I3A \
  | 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: c0119edfd543061a4a947918ba03a8d8017bb72e6cd790ca51c1d56cc5585a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bacde3df858c49bd0982aee6e1ea4c197163f50fd6c0b91418ffb6466e685945",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-04-30T19:05:52Z",
    "title_canon_sha256": "35e9f29a517dddad7bd229503896aead48ab6f2cd4845e8bf295d9897f77f111"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6728",
    "kind": "arxiv",
    "version": 6
  }
}