Pith Number

pith:2QL2IFN4

pith:2014:2QL2IFN4JBYPUFHP5MA4QN55X4

not attested not anchored not stored refs pending

Non-left-orderable surgeries on twisted torus knots

Justin Goluboff, Katherine Christianson, Linus Hamann, Srikar Varadaraj

arxiv:1410.1908 v2 · 2014-10-07 · 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{2QL2IFN4JBYPUFHP5MA4QN55X4}

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	2026-05-18T02:39:47.782372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d417a415bc4870fa14efeb01c837bdbf22bf3a1c2536a926356947242eeb2abe

Aliases

arxiv: 1410.1908 · arxiv_version: 1410.1908v2 · doi: 10.48550/arxiv.1410.1908 · pith_short_12: 2QL2IFN4JBYP · pith_short_16: 2QL2IFN4JBYPUFHP · pith_short_8: 2QL2IFN4

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/2QL2IFN4JBYPUFHP5MA4QN55X4 \
  | 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: d417a415bc4870fa14efeb01c837bdbf22bf3a1c2536a926356947242eeb2abe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "801d927ff6d61d7c5817d20498ba5930aa6700a2be062e9519c7573d002490a3",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-10-07T20:56:24Z",
    "title_canon_sha256": "8b4ec6a77ea92c37aede072261cd26e0669c977582b5c0dbe6953483ddbad074"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1908",
    "kind": "arxiv",
    "version": 2
  }
}