Pith Number

pith:6K2JJIVW

pith:2016:6K2JJIVWB6UHWN3TPYA4QPGDGM

not attested not anchored not stored refs pending

An explicit relation between knot groups in lens spaces and those in $S^3$

Yuta Nozaki

arxiv:1602.05884 v2 · 2016-02-18 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6K2JJIVWB6UHWN3TPYA4QPGDGM}

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	2026-05-17T23:56:10.738105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2b494a2b60fa87b37737e01c83cc3330123083f4ca9db2b216164e08e5600b8

Aliases

arxiv: 1602.05884 · arxiv_version: 1602.05884v2 · doi: 10.48550/arxiv.1602.05884 · pith_short_12: 6K2JJIVWB6UH · pith_short_16: 6K2JJIVWB6UHWN3T · pith_short_8: 6K2JJIVW

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/6K2JJIVWB6UHWN3TPYA4QPGDGM \
  | 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: f2b494a2b60fa87b37737e01c83cc3330123083f4ca9db2b216164e08e5600b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8979683d8e788334d92cffb66986889a3aa97ee3decdb7f99475a40a4e00484d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-02-18T17:36:24Z",
    "title_canon_sha256": "16dccde6584a446eb30096fb75f310e8a3a29652e593ad4019818eec8833401b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05884",
    "kind": "arxiv",
    "version": 2
  }
}