Pith Number

pith:MBR6GCNK

pith:2016:MBR6GCNKJ3LQRVU762GG5W7TNF

not attested not anchored not stored refs pending

A polynomial defined by the $\mathit{SL}(2;\mathbb{C})$-Reidemeister torsion for a homology 3-sphere obtained by Dehn-surgery along a torus knot

Teruaki Kitano

arxiv:1601.00448 v1 · 2016-01-04 · 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{MBR6GCNKJ3LQRVU762GG5W7TNF}

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	2026-05-18T01:23:27.410610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6063e309aa4ed708d69ff68c6edbf36970d25b6c5afcb19d3d18188b841a0e57

Aliases

arxiv: 1601.00448 · arxiv_version: 1601.00448v1 · doi: 10.48550/arxiv.1601.00448 · pith_short_12: MBR6GCNKJ3LQ · pith_short_16: MBR6GCNKJ3LQRVU7 · pith_short_8: MBR6GCNK

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/MBR6GCNKJ3LQRVU762GG5W7TNF \
  | 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: 6063e309aa4ed708d69ff68c6edbf36970d25b6c5afcb19d3d18188b841a0e57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55782154f4338da9dfcc880ba03954b237401774ee4c3a720874e001927fed22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-01-04T10:47:49Z",
    "title_canon_sha256": "6e3341730ec8058f27860535a5401973d4c554e46ffa659ac0043be458f9f2bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00448",
    "kind": "arxiv",
    "version": 1
  }
}