Pith Number

pith:G5Y554XM

pith:2014:G5Y554XM3NPHNPZ5B6P7KH5FSQ

not attested not anchored not stored refs pending

Some 3-manifold groups with the same finite quotients

John Hempel

arxiv:1409.3509 v2 · 2014-09-11 · 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{G5Y554XM3NPHNPZ5B6P7KH5FSQ}

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.

Cited by

1 paper in Pith

On submersions with definite folds of manifolds with boundary into Euclidean spaces

Receipt and verification

First computed	2026-05-18T02:41:09.880192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3771def2ecdb5e76bf3d0f9ff51fa594000cd6444a0bb9a6859970327a43406b

Aliases

arxiv: 1409.3509 · arxiv_version: 1409.3509v2 · doi: 10.48550/arxiv.1409.3509 · pith_short_12: G5Y554XM3NPH · pith_short_16: G5Y554XM3NPHNPZ5 · pith_short_8: G5Y554XM

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/G5Y554XM3NPHNPZ5B6P7KH5FSQ \
  | 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: 3771def2ecdb5e76bf3d0f9ff51fa594000cd6444a0bb9a6859970327a43406b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4292dfe4c68b5370df8d05bd54cb1992a2abe41d5b526939d426414007872cce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-09-11T17:32:42Z",
    "title_canon_sha256": "44bfe0ac2e134a87509fb1c8092fb77a4bc21eb6a7379d1e18826bf376c9489d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3509",
    "kind": "arxiv",
    "version": 2
  }
}