Pith Number

pith:CKHLQ5BO

pith:2015:CKHLQ5BO2UK2HSCQWB3EJ27XV4

not attested not anchored not stored refs pending

Spectra of orbifolds with cyclic fundamental groups

Emilio A. Lauret

arxiv:1510.05948 v3 · 2015-10-20 · math.DG · math.RT · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKHLQ5BO2UK2HSCQWB3EJ27XV4}

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	2026-05-18T01:10:52.219984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

128eb8742ed515a3c850b07644ebf7af2d16d5519fa89eef781886d20d0ea0aa

Aliases

arxiv: 1510.05948 · arxiv_version: 1510.05948v3 · doi: 10.48550/arxiv.1510.05948 · pith_short_12: CKHLQ5BO2UK2 · pith_short_16: CKHLQ5BO2UK2HSCQ · pith_short_8: CKHLQ5BO

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/CKHLQ5BO2UK2HSCQWB3EJ27XV4 \
  | 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: 128eb8742ed515a3c850b07644ebf7af2d16d5519fa89eef781886d20d0ea0aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30566a62486bf6b2132a6f94cdd9811def920c128aec95b66a881e6c0891cf43",
    "cross_cats_sorted": [
      "math.RT",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-20T16:23:17Z",
    "title_canon_sha256": "65b5e78a89977d0930b5823b26fd319ca4e124bdfa226da27283561b629ae2ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05948",
    "kind": "arxiv",
    "version": 3
  }
}