Pith Number

pith:QP6V3BGA

pith:2017:QP6V3BGAUE5N32YSEMLZFHANR6

not attested not anchored not stored refs pending

On the peripheral subgroups of irreducible 3-manifold groups and acylindrical splittings

Filippo Cerocchi

arxiv:1705.06124 v2 · 2017-05-17 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QP6V3BGAUE5N32YSEMLZFHANR6}

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	2026-05-18T00:32:30.898280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83fd5d84c0a13addeb122317929c0d8f9b761f9c816b8e7a3162a6bd9e8a2750

Aliases

arxiv: 1705.06124 · arxiv_version: 1705.06124v2 · doi: 10.48550/arxiv.1705.06124 · pith_short_12: QP6V3BGAUE5N · pith_short_16: QP6V3BGAUE5N32YS · pith_short_8: QP6V3BGA

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/QP6V3BGAUE5N32YSEMLZFHANR6 \
  | 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: 83fd5d84c0a13addeb122317929c0d8f9b761f9c816b8e7a3162a6bd9e8a2750

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b437dcf0e5d24ceb9ac1583f231dda36e71d9a1397ba59174d777f875b3ac78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-05-17T12:35:42Z",
    "title_canon_sha256": "e1ae70385628b662d145d941b20abb143593e526d09c10ee7260296ff0763dbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06124",
    "kind": "arxiv",
    "version": 2
  }
}