Pith Number

pith:YVIZVEVZ

pith:2011:YVIZVEVZNKJQKK6FKRWKLF2XAE

not attested not anchored not stored refs pending

The renormalized volume and the volume of the convex core of quasifuchsian manifolds

Jean-Marc Schlenker

arxiv:1109.6663 v4 · 2011-09-29 · math.DG · 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{YVIZVEVZNKJQKK6FKRWKLF2XAE}

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	2026-05-18T00:51:58.636474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5519a92b96a93052bc5546ca597570104a2280f6580f9403a75e12a93d53cd8

Aliases

arxiv: 1109.6663 · arxiv_version: 1109.6663v4 · doi: 10.48550/arxiv.1109.6663 · pith_short_12: YVIZVEVZNKJQ · pith_short_16: YVIZVEVZNKJQKK6F · pith_short_8: YVIZVEVZ

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/YVIZVEVZNKJQKK6FKRWKLF2XAE \
  | 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: c5519a92b96a93052bc5546ca597570104a2280f6580f9403a75e12a93d53cd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98cec0fc66c15a1ecac7acd4d9f66aa396a011402e5d30bfa4dadd189a4e7a57",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-29T20:12:12Z",
    "title_canon_sha256": "3d1d65f2d50c5130203ceeb19dc0e090aebe00f37293df126c8ed8de1c2beb68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6663",
    "kind": "arxiv",
    "version": 4
  }
}