Pith Number

pith:5HFYQBLP

pith:2011:5HFYQBLPXCJASVAGR56RCI5YJB

not attested not anchored not stored refs pending

Bending Fuchsian representations of fundamental groups of cusped surfaces in PU(2,1)

Pierre Will

arxiv:1101.0925 v1 · 2011-01-05 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HFYQBLPXCJASVAGR56RCI5YJB}

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	2026-05-18T02:23:05.426720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9cb88056fb8920954068f7d1123b8487a40b47c259b94f16e1481cf3bdab9b9

Aliases

arxiv: 1101.0925 · arxiv_version: 1101.0925v1 · doi: 10.48550/arxiv.1101.0925 · pith_short_12: 5HFYQBLPXCJA · pith_short_16: 5HFYQBLPXCJASVAG · pith_short_8: 5HFYQBLP

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/5HFYQBLPXCJASVAGR56RCI5YJB \
  | 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: e9cb88056fb8920954068f7d1123b8487a40b47c259b94f16e1481cf3bdab9b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c85665d6feab951b26a16316f126cba2b5485adb48a2839e66f75c761d1198b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-01-05T10:13:52Z",
    "title_canon_sha256": "3665edd66f622630ac3a315272227d03ef4c85bbd93d2b16c2c44e8b368fe846"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0925",
    "kind": "arxiv",
    "version": 1
  }
}