Pith Number

pith:KOX4J64O

pith:2013:KOX4J64O7VCPR53IP6FFRUPDM5

not attested not anchored not stored refs pending

Left-orderable fundamental group and Dehn surgery on genus one two-bridge knots

Masakazu Teragaito, Ryoto Hakamata

arxiv:1301.2361 v1 · 2013-01-11 · 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{KOX4J64O7VCPR53IP6FFRUPDM5}

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	2026-05-18T02:38:17.405124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53afc4fb8efd44f8f7687f8a58d1e36770045222ce7daf8f5f731c3344e8d16b

Aliases

arxiv: 1301.2361 · arxiv_version: 1301.2361v1 · doi: 10.48550/arxiv.1301.2361 · pith_short_12: KOX4J64O7VCP · pith_short_16: KOX4J64O7VCPR53I · pith_short_8: KOX4J64O

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/KOX4J64O7VCPR53IP6FFRUPDM5 \
  | 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: 53afc4fb8efd44f8f7687f8a58d1e36770045222ce7daf8f5f731c3344e8d16b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd08433ed4bdb7ec28e08c08782f064c037dca686a9a37784855219e5643d9f8",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-01-11T00:02:52Z",
    "title_canon_sha256": "3af2b67b044b75d53bbebe859892af12a9b3112929a8ff61b08e260883e46f7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2361",
    "kind": "arxiv",
    "version": 1
  }
}