Pith Number

pith:QVAEVSMW

pith:2017:QVAEVSMWFH6HR4DN3RF6C3PJO4

not attested not anchored not stored refs pending

Every lens space contains a genus one homologically fibered knot

Yuta Nozaki

arxiv:1702.02731 v2 · 2017-02-09 · math.GT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVAEVSMWFH6HR4DN3RF6C3PJO4}

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	2026-05-17T23:48:12.107066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85404ac99629fc78f06ddc4be16de9773e9e19c29dab91184bf45220a32b37ca

Aliases

arxiv: 1702.02731 · arxiv_version: 1702.02731v2 · doi: 10.48550/arxiv.1702.02731 · pith_short_12: QVAEVSMWFH6H · pith_short_16: QVAEVSMWFH6HR4DN · pith_short_8: QVAEVSMW

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/QVAEVSMWFH6HR4DN3RF6C3PJO4 \
  | 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: 85404ac99629fc78f06ddc4be16de9773e9e19c29dab91184bf45220a32b37ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8628b0edc2def8cb1f9faa6fd048fa6d8358aca43cc39e807a4932828a850a5f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-02-09T07:32:43Z",
    "title_canon_sha256": "54d7997054426e106d07012581bba97e32794dfba7312354122c9f864c5fbb96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02731",
    "kind": "arxiv",
    "version": 2
  }
}