Pith Number

pith:B45DTVFC

pith:2010:B45DTVFCOS2W63O6Z63PU2H6DG

not attested not anchored not stored refs pending

Non-finitely generated relatively hyperbolic groups and Floyd quasiconvexity

Leonid Potyagailo, Victor Gerasimov

arxiv:1008.3470 v7 · 2010-08-20 · 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{B45DTVFCOS2W63O6Z63PU2H6DG}

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	2026-05-18T02:26:51.840132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f3a39d4a274b56f6ddecfb6fa68fe19b9131115ca0cd077510b009dc7cddac5

Aliases

arxiv: 1008.3470 · arxiv_version: 1008.3470v7 · doi: 10.48550/arxiv.1008.3470 · pith_short_12: B45DTVFCOS2W · pith_short_16: B45DTVFCOS2W63O6 · pith_short_8: B45DTVFC

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/B45DTVFCOS2W63O6Z63PU2H6DG \
  | 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: 0f3a39d4a274b56f6ddecfb6fa68fe19b9131115ca0cd077510b009dc7cddac5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8c1f672436494a489f506349be7a5b35b7b3f7339d7398a280f123f54e79774",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-08-20T11:00:02Z",
    "title_canon_sha256": "5d7a6ca19ffb376a97795fa19247b4e4e057661b02a2af8eec87f5548850b4a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3470",
    "kind": "arxiv",
    "version": 7
  }
}