Pith Number

pith:BQSL7QP3

pith:2010:BQSL7QP3DSEWXUJCCAII3LGSZJ

not attested not anchored not stored refs pending

Floyd maps to the boundaries of relatively hyperbolic groups

Victor Gerasimov

arxiv:1001.4482 v3 · 2010-01-25 · math.GR · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQSL7QP3DSEWXUJCCAII3LGSZJ}

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	2026-05-18T03:57:01.020750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c24bfc1fb1c896bd12210108dacd2ca53be360c0d1037295119d2f567bd1c0f

Aliases

arxiv: 1001.4482 · arxiv_version: 1001.4482v3 · doi: 10.48550/arxiv.1001.4482 · pith_short_12: BQSL7QP3DSEW · pith_short_16: BQSL7QP3DSEWXUJC · pith_short_8: BQSL7QP3

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/BQSL7QP3DSEWXUJCCAII3LGSZJ \
  | 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: 0c24bfc1fb1c896bd12210108dacd2ca53be360c0d1037295119d2f567bd1c0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7af3a1545a16c12184ec85e676d5c6357bae27e25e5a6e0706c9b3864ce35fe",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-01-25T16:47:32Z",
    "title_canon_sha256": "20f7ec1dd661b5041c01e9b211f14996a7980be0f47275b8999fab6c92f60a19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4482",
    "kind": "arxiv",
    "version": 3
  }
}