Pith Number

pith:HBNHUCTW

pith:2016:HBNHUCTWBND7QMUYSYS3ZJT2HB

not attested not anchored not stored refs pending

On classical uniformization theorems for higher dimensional complex Kleinian groups

Alejandro Ucan-Puc, Angel Cano, Luis Loeza

arxiv:1609.07541 v1 · 2016-09-24 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBNHUCTWBND7QMUYSYS3ZJT2HB}

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	2026-05-18T01:03:56.109848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

385a7a0a760b47f832989625bca67a385d0f016f2c30774f6ae229a69a0c57c9

Aliases

arxiv: 1609.07541 · arxiv_version: 1609.07541v1 · doi: 10.48550/arxiv.1609.07541 · pith_short_12: HBNHUCTWBND7 · pith_short_16: HBNHUCTWBND7QMUY · pith_short_8: HBNHUCTW

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/HBNHUCTWBND7QMUYSYS3ZJT2HB \
  | 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: 385a7a0a760b47f832989625bca67a385d0f016f2c30774f6ae229a69a0c57c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c306e518ae981c23d742fd094644cd78ee75524a4c57ee3f5597cc89658cd18a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-09-24T00:17:42Z",
    "title_canon_sha256": "469b05c41a073583ae17fce261c2ea9ea827617086356d6dd4dbfa48ff051534"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07541",
    "kind": "arxiv",
    "version": 1
  }
}