Pith Number

pith:YJTVLP5M

pith:2011:YJTVLP5MVSLIC53SPQP4Q5WLJS

not attested not anchored not stored refs pending

Generalized presentations of infinite groups, in particular of $Aut(F_{\omega})$

Oleg Bogopolski, Wilhelm Singhof

arxiv:1107.1332 v1 · 2011-07-07 · 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{YJTVLP5MVSLIC53SPQP4Q5WLJS}

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	2026-05-18T04:18:44.176398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c26755bfacac968177727c1fc876cb4cba3efd96bd05f26a0393e2ad5520e6b0

Aliases

arxiv: 1107.1332 · arxiv_version: 1107.1332v1 · doi: 10.48550/arxiv.1107.1332 · pith_short_12: YJTVLP5MVSLI · pith_short_16: YJTVLP5MVSLIC53S · pith_short_8: YJTVLP5M

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/YJTVLP5MVSLIC53SPQP4Q5WLJS \
  | 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: c26755bfacac968177727c1fc876cb4cba3efd96bd05f26a0393e2ad5520e6b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9742459b4e8c0a0e077de02ba362674b7fdd4497ba9e686756c41eb8956755e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-07-07T09:51:26Z",
    "title_canon_sha256": "2ed4dc979a764384cf79c188422d99c0045972120918028eaf3dd56dda90f3b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1332",
    "kind": "arxiv",
    "version": 1
  }
}