Pith Number

pith:YH732K4X

pith:2024:YH732K4XG4FOJYHO7TW7FQ37KS

not attested not anchored not stored refs pending

On Thin Heckoid and Generalised Triangle Groups in $PSL(2,\mathbb{C})$}

Alex Elzenaar, Gaven Martin, Jeroen Schillewaert

arxiv:2409.04438 v1 · 2024-09-06 · math.GR · 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{YH732K4XG4FOJYHO7TW7FQ37KS}

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	2026-07-05T09:04:05.676519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1ffbd2b97370ae4e0eefcedf2c37f54bd16c68de096b520f9ea095343d957a9

Aliases

arxiv: 2409.04438 · arxiv_version: 2409.04438v1 · doi: 10.48550/arxiv.2409.04438 · pith_short_12: YH732K4XG4FO · pith_short_16: YH732K4XG4FOJYHO · pith_short_8: YH732K4X

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/YH732K4XG4FOJYHO7TW7FQ37KS \
  | 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: c1ffbd2b97370ae4e0eefcedf2c37f54bd16c68de096b520f9ea095343d957a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f55c7825aa2249977e23532bfd9e0883b1afb40c953bc507bbe394410a32d15",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-09-06T17:57:56Z",
    "title_canon_sha256": "9d783fa53e7fd00af95a3b2d975557cdfbe6fc652f36456073a6563e18523d19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.04438",
    "kind": "arxiv",
    "version": 1
  }
}