Pith Number

pith:QKHXGWQX

pith:2011:QKHXGWQX47CZ5RIHPU7TT7RJLV

not attested not anchored not stored refs pending

Quasiconvexity in the Relatively Hyperbolic Groups

Leonid Potyagailo, Victor Gerasimov

arxiv:1103.1211 v4 · 2011-03-07 · math.GR · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKHXGWQX47CZ5RIHPU7TT7RJLV}

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	2026-05-18T04:11:17.889504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

828f735a17e7c59ec5077d3f39fe295d52079e5ce68e30c2fbfb94b772d502bd

Aliases

arxiv: 1103.1211 · arxiv_version: 1103.1211v4 · doi: 10.48550/arxiv.1103.1211 · pith_short_12: QKHXGWQX47CZ · pith_short_16: QKHXGWQX47CZ5RIH · pith_short_8: QKHXGWQX

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/QKHXGWQX47CZ5RIHPU7TT7RJLV \
  | 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: 828f735a17e7c59ec5077d3f39fe295d52079e5ce68e30c2fbfb94b772d502bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e26ed283a0b29f0cb6fbd5bb1ef37ff99c2f9973f4484a7afe0db1e43f803e09",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-03-07T08:42:14Z",
    "title_canon_sha256": "ab9ef26b24e043c93ef5c26773fd0bd7bdd26eeaa94bda55bba39a24ad784c5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1211",
    "kind": "arxiv",
    "version": 4
  }
}