Pith Number

pith:ONONC66V

pith:2009:ONONC66V2YKKTEHKWIUQP2Z654

not attested not anchored not stored refs pending

Limits of relatively hyperbolic groups and Lyndon's completions

A. Myasnikov, O. Kharlampovich

arxiv:0904.2423 v4 · 2009-04-16 · 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{ONONC66V2YKKTEHKWIUQP2Z654}

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	2026-05-18T03:25:35.419170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

735cd17bd5d614a990eab22907eb3eef23889dbf2f2e9dfc33532461f811c4b7

Aliases

arxiv: 0904.2423 · arxiv_version: 0904.2423v4 · doi: 10.48550/arxiv.0904.2423 · pith_short_12: ONONC66V2YKK · pith_short_16: ONONC66V2YKKTEHK · pith_short_8: ONONC66V

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/ONONC66V2YKKTEHKWIUQP2Z654 \
  | 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: 735cd17bd5d614a990eab22907eb3eef23889dbf2f2e9dfc33532461f811c4b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f65323850d4bc3668a2bf4d7d708705994e00df1fd2007f5b4075fc5d03b9096",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-04-16T03:39:51Z",
    "title_canon_sha256": "05b34084268f32ac44e82a4b59c9d16a9fad4123bd6f1c4cc6093f1365d538ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2423",
    "kind": "arxiv",
    "version": 4
  }
}