Pith Number

pith:QLWK66NI

pith:2017:QLWK66NIB572GPSJ42XER6Z3UP

not attested not anchored not stored refs pending

Convex cocompactness in pseudo-Riemannian hyperbolic spaces

Fanny Kassel, Fran\c{c}ois Gu\'eritaud, Jeffrey Danciger

arxiv:1701.09136 v3 · 2017-01-31 · math.GT · 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{QLWK66NIB572GPSJ42XER6Z3UP}

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	2026-05-18T00:34:10.034341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82ecaf79a80f7fa33e49e6ae48fb3ba3de71d82d160a261464ab83dbf8397ce0

Aliases

arxiv: 1701.09136 · arxiv_version: 1701.09136v3 · doi: 10.48550/arxiv.1701.09136 · pith_short_12: QLWK66NIB572 · pith_short_16: QLWK66NIB572GPSJ · pith_short_8: QLWK66NI

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/QLWK66NIB572GPSJ42XER6Z3UP \
  | 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: 82ecaf79a80f7fa33e49e6ae48fb3ba3de71d82d160a261464ab83dbf8397ce0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae5037f1bd022c0741688731ee389769fbba6c4163a1edcadf42575e14c884bf",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-01-31T17:15:50Z",
    "title_canon_sha256": "ba18cd8a9e6017acbc302e72080d4672e5ab08a86dcf19bdf6116287c9af61d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.09136",
    "kind": "arxiv",
    "version": 3
  }
}