Pith Number

pith:2LGFZMTC

pith:2010:2LGFZMTCKRT6YTGS6ISXSJSYDW

not attested not anchored not stored refs pending

Fixed subgroups of automorphisms of relatively hyperbolic groups

Ashot Minasyan, Denis Osin

arxiv:1007.2361 v2 · 2010-07-14 · 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{2LGFZMTCKRT6YTGS6ISXSJSYDW}

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	2026-05-18T03:41:32.475083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2cc5cb2625467ec4cd2f2257926581db801b21283d0cd801e2853c82951e47a

Aliases

arxiv: 1007.2361 · arxiv_version: 1007.2361v2 · doi: 10.48550/arxiv.1007.2361 · pith_short_12: 2LGFZMTCKRT6 · pith_short_16: 2LGFZMTCKRT6YTGS · pith_short_8: 2LGFZMTC

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/2LGFZMTCKRT6YTGS6ISXSJSYDW \
  | 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: d2cc5cb2625467ec4cd2f2257926581db801b21283d0cd801e2853c82951e47a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc29df2d3d0680b14293096c7b4b20a6148a37447e5014524eac4ac80b4c2f72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-07-14T15:54:01Z",
    "title_canon_sha256": "e2c915ac0e827b421b2cb085f109c09de9fcd1eee0b321f7956e13b472918016"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2361",
    "kind": "arxiv",
    "version": 2
  }
}