Pith Number

pith:HQAR5ZPM

pith:2006:HQAR5ZPMCVQRBNM3P3675J23YZ

not attested not anchored not stored refs pending

The SQ-universality and residual properties of relatively hyperbolic groups

A. Minasyan, D. Osin, G. Arzhantseva

arxiv:math/0601590 v3 · 2006-01-24 · 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{HQAR5ZPMCVQRBNM3P3675J23YZ}

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	2026-05-18T04:08:53.649909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c011ee5ec156110b59b7efdfea75bc6548ec11a025113d5990be4d6410908fc

Aliases

arxiv: math/0601590 · arxiv_version: math/0601590v3 · doi: 10.48550/arxiv.math/0601590 · pith_short_12: HQAR5ZPMCVQR · pith_short_16: HQAR5ZPMCVQRBNM3 · pith_short_8: HQAR5ZPM

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/HQAR5ZPMCVQRBNM3P3675J23YZ \
  | 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: 3c011ee5ec156110b59b7efdfea75bc6548ec11a025113d5990be4d6410908fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff980948a267d03406217c5cdcbf57c95829a0577b3f5fbd8871e89e4740359d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2006-01-24T18:49:17Z",
    "title_canon_sha256": "9ac00ad56ac314114c59822ec5a989a13297fdd0d7380e14805da8c18d81a5c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601590",
    "kind": "arxiv",
    "version": 3
  }
}