Pith Number

pith:5ZVIZDXC

pith:2010:5ZVIZDXCUQDNENWLUNAJERK7RU

not attested not anchored not stored refs pending

On The Torsion Homology of Non-Arithmetic Hyperbolic Tetrahedral Groups

Mehmet Haluk Sengun

arxiv:1012.1795 v2 · 2010-12-08 · math.NT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ZVIZDXCUQDNENWLUNAJERK7RU}

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	2026-05-18T03:11:22.312868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee6a8c8ee2a406d236cba34092455f8d2b143db6926171232b1e8c3f08355c5e

Aliases

arxiv: 1012.1795 · arxiv_version: 1012.1795v2 · doi: 10.48550/arxiv.1012.1795 · pith_short_12: 5ZVIZDXCUQDN · pith_short_16: 5ZVIZDXCUQDNENWL · pith_short_8: 5ZVIZDXC

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/5ZVIZDXCUQDNENWLUNAJERK7RU \
  | 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: ee6a8c8ee2a406d236cba34092455f8d2b143db6926171232b1e8c3f08355c5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dcf266443b2efe2ccd05d64451745e9dc0153a95154bb86c73cb8532fb95052",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-08T16:30:16Z",
    "title_canon_sha256": "4b2707f5d8d554d6f1483d1a521ab1ba2f08ff3677f31f42b44aed7521c5b9d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1795",
    "kind": "arxiv",
    "version": 2
  }
}