Pith Number

pith:GIO33MGU

pith:2012:GIO33MGUFEG6BDQ6KNHWY2XQP2

not attested not anchored not stored refs pending

Branched projective structures with quasi-Fuchsian holonomy

Bertrand Deroin, Gabriel Calsamiglia, Stefano Francaviglia

arxiv:1203.6038 v1 · 2012-03-27 · math.GT · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GIO33MGUFEG6BDQ6KNHWY2XQP2}

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	2026-05-18T02:38:17.805683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

321dbdb0d4290de08e1e534f6c6af07eace0c0e6d0b7bd1a2fceb2f446b9e315

Aliases

arxiv: 1203.6038 · arxiv_version: 1203.6038v1 · doi: 10.48550/arxiv.1203.6038 · pith_short_12: GIO33MGUFEG6 · pith_short_16: GIO33MGUFEG6BDQ6 · pith_short_8: GIO33MGU

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/GIO33MGUFEG6BDQ6KNHWY2XQP2 \
  | 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: 321dbdb0d4290de08e1e534f6c6af07eace0c0e6d0b7bd1a2fceb2f446b9e315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c4f5cbd7d8d9a9af630543c9d1ddc88368324c5e38d0f1f86421305c532b1c2",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-03-27T17:47:40Z",
    "title_canon_sha256": "2aefaefb9e9eb19d85c819155ed37b39c2123707d6c95962b516d56d72d907c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6038",
    "kind": "arxiv",
    "version": 1
  }
}