Pith Number

pith:Y63TK7NO

pith:2016:Y63TK7NO4BU75L4AGCRREFXG3D

not attested not anchored not stored refs pending

Undistorted purely pseudo-Anosov groups

Christopher J. Leininger, Kenneth Bromberg, Mladen Bestvina, Richard P. Kent IV

arxiv:1608.01583 v3 · 2016-08-04 · 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{Y63TK7NO4BU75L4AGCRREFXG3D}

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	2026-05-18T00:30:17.569642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7b7357daee069feaf8030a31216e6d8e4a8be09888d8c4194b3271f66e044a3

Aliases

arxiv: 1608.01583 · arxiv_version: 1608.01583v3 · doi: 10.48550/arxiv.1608.01583 · pith_short_12: Y63TK7NO4BU7 · pith_short_16: Y63TK7NO4BU75L4A · pith_short_8: Y63TK7NO

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/Y63TK7NO4BU75L4AGCRREFXG3D \
  | 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: c7b7357daee069feaf8030a31216e6d8e4a8be09888d8c4194b3271f66e044a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "874cf7e66e56632bbc17cc7e1711a514272ec7bb5645762d7a907d8a6867266b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-08-04T15:29:57Z",
    "title_canon_sha256": "10d1ef184f2c69fcbc0de5f206d807b40bf8db148e9c149002350652edd14b20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01583",
    "kind": "arxiv",
    "version": 3
  }
}