Pith Number

pith:KYXXNHDI

pith:2011:KYXXNHDIOFXJMH44LJN2FAR334

not attested not anchored not stored refs pending

On cabled knots, Dehn surgery, and left-orderable fundamental groups

Adam Clay, Liam Watson

arxiv:1103.2358 v1 · 2011-03-11 · 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{KYXXNHDIOFXJMH44LJN2FAR334}

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	2026-05-18T04:26:55.765773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

562f769c68716e961f9c5a5ba2823bdf319508104f32e45bc674d5cf00a0f9af

Aliases

arxiv: 1103.2358 · arxiv_version: 1103.2358v1 · doi: 10.48550/arxiv.1103.2358 · pith_short_12: KYXXNHDIOFXJ · pith_short_16: KYXXNHDIOFXJMH44 · pith_short_8: KYXXNHDI

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/KYXXNHDIOFXJMH44LJN2FAR334 \
  | 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: 562f769c68716e961f9c5a5ba2823bdf319508104f32e45bc674d5cf00a0f9af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b4972b2f4860de684f8fb047e34b7b37cd565962e6373cadf712ba7d3df5df3",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-03-11T20:23:42Z",
    "title_canon_sha256": "86351fb8dae630c1df3b43008f8619ddb00277314f259f744500a7a3e402149c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2358",
    "kind": "arxiv",
    "version": 1
  }
}