Pith Number

pith:HON7BTEP

pith:2016:HON7BTEP455VOYERRGPBQ4QYR7

not attested not anchored not stored refs pending

Involution and commutator length for complex hyperbolic isometries

Julien Paupert, Pierre Will

arxiv:1604.02159 v1 · 2016-04-07 · 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{HON7BTEP455VOYERRGPBQ4QYR7}

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	2026-05-18T01:17:28.305687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b9bf0cc8fe77b576091899e1872188fd28d79381b6285f6558f0b255fb44fbc

Aliases

arxiv: 1604.02159 · arxiv_version: 1604.02159v1 · doi: 10.48550/arxiv.1604.02159 · pith_short_12: HON7BTEP455V · pith_short_16: HON7BTEP455VOYER · pith_short_8: HON7BTEP

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/HON7BTEP455VOYERRGPBQ4QYR7 \
  | 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: 3b9bf0cc8fe77b576091899e1872188fd28d79381b6285f6558f0b255fb44fbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f880fcf1905339f6d9943bd688bca05b613c431c32e396059d3301c198cedfcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-04-07T20:05:04Z",
    "title_canon_sha256": "a01196cc791b73402e3d437be73be8dbfc60d56bbefc05ce29ba33b90fcf7879"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02159",
    "kind": "arxiv",
    "version": 1
  }
}