Pith Number

pith:X6XWEWVE

pith:2018:X6XWEWVE2MFJCDONX4TTTS6TE6

not attested not anchored not stored refs pending

Higher simple structure sets of lens spaces with the fundamental group of order $2^K$

Ludovit Balko, Martin Niepel, Tibor Macko, Tomas Rusin

arxiv:1808.05373 v1 · 2018-08-16 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X6XWEWVE2MFJCDONX4TTTS6TE6}

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	2026-05-18T00:07:57.313113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfaf625aa4d30a910dcdbf2739cbd327ad4258e48e90008c4dcfd5ecc2bc2998

Aliases

arxiv: 1808.05373 · arxiv_version: 1808.05373v1 · doi: 10.48550/arxiv.1808.05373 · pith_short_12: X6XWEWVE2MFJ · pith_short_16: X6XWEWVE2MFJCDON · pith_short_8: X6XWEWVE

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/X6XWEWVE2MFJCDONX4TTTS6TE6 \
  | 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: bfaf625aa4d30a910dcdbf2739cbd327ad4258e48e90008c4dcfd5ecc2bc2998

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cf9dd5bbe9a437d89c16135dc8bef4bec42e332fb908feb84172cc535a64a28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-08-16T08:08:15Z",
    "title_canon_sha256": "4b628e7f7ff3cdb76d4198f88a2976b1296038a7fc33ec4ec31428160c3d4026"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05373",
    "kind": "arxiv",
    "version": 1
  }
}