Pith Number

pith:GJRFDOWP

pith:2011:GJRFDOWPJNUR4RQP7I3CY4AQRL

not attested not anchored not stored refs pending

Section Extension from Hyperbolic Geometry of Punctured Disk and Holomorphic Family of Flat Bundles

Yum-Tong Siu

arxiv:1104.2563 v2 · 2011-04-13 · 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{GJRFDOWPJNUR4RQP7I3CY4AQRL}

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	2026-05-18T02:02:29.742804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

326251bacf4b691e460ffa362c70108adb07f8835aba1e8b15eb4b3d260909ab

Aliases

arxiv: 1104.2563 · arxiv_version: 1104.2563v2 · doi: 10.48550/arxiv.1104.2563 · pith_short_12: GJRFDOWPJNUR · pith_short_16: GJRFDOWPJNUR4RQP · pith_short_8: GJRFDOWP

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/GJRFDOWPJNUR4RQP7I3CY4AQRL \
  | 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: 326251bacf4b691e460ffa362c70108adb07f8835aba1e8b15eb4b3d260909ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ccd36b1c6bf4a10f450bf04db4016ab87709b14979d9f146351b00bc3060618",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-04-13T17:59:34Z",
    "title_canon_sha256": "e17955902e79ee9452dbf8b722e446ac8bd988e282a38f761ccad4eb6c2bd4f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2563",
    "kind": "arxiv",
    "version": 2
  }
}