Pith Number

pith:4J7S5HKD

pith:2017:4J7S5HKDUBQ367DW3EZJASCGQ7

not attested not anchored not stored refs pending

Rank 1 deformations of non-cocompact hyperbolic lattices

Julien Paupert, Pierre Will, Samuel A. Ballas

arxiv:1702.00508 v2 · 2017-02-02 · math.GT · math.DG · 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{4J7S5HKDUBQ367DW3EZJASCGQ7}

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	2026-05-17T23:54:32.050197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e27f2e9d43a061bf7c76d93290484687fcb4084b7ecf54a29b1f06967b18e3fe

Aliases

arxiv: 1702.00508 · arxiv_version: 1702.00508v2 · doi: 10.48550/arxiv.1702.00508 · pith_short_12: 4J7S5HKDUBQ3 · pith_short_16: 4J7S5HKDUBQ367DW · pith_short_8: 4J7S5HKD

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/4J7S5HKDUBQ367DW3EZJASCGQ7 \
  | 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: e27f2e9d43a061bf7c76d93290484687fcb4084b7ecf54a29b1f06967b18e3fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f29c576e66c81570585cb8c5c290bb2fd369e20aebdf56aaa5abdb6ae2d92f1a",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-02-02T00:26:15Z",
    "title_canon_sha256": "7c7234a321b15aa2181526ae1b1f74f5bf37c89d6d4ba982ecf72353fd9884fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00508",
    "kind": "arxiv",
    "version": 2
  }
}