Pith Number

pith:RK6OUOGD

pith:2012:RK6OUOGDPVYVTSTTUD3U2HV7HD

not attested not anchored not stored refs pending

Left-orderable fundamental group and Dehn surgery on twist knots

Masakazu Teragaito, Ryoto Hakamata

arxiv:1212.6305 v1 · 2012-12-27 · 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{RK6OUOGDPVYVTSTTUD3U2HV7HD}

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	2026-05-18T03:37:40.245331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8abcea38c37d7159ca73a0f74d1ebf38c3cb17f5b691cff5945574a3bda086ff

Aliases

arxiv: 1212.6305 · arxiv_version: 1212.6305v1 · doi: 10.48550/arxiv.1212.6305 · pith_short_12: RK6OUOGDPVYV · pith_short_16: RK6OUOGDPVYVTSTT · pith_short_8: RK6OUOGD

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/RK6OUOGDPVYVTSTTUD3U2HV7HD \
  | 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: 8abcea38c37d7159ca73a0f74d1ebf38c3cb17f5b691cff5945574a3bda086ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bddaa86c5f982f09429b142769e351f7546aaa71038e655c4e29b723b5d778c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-12-27T05:29:07Z",
    "title_canon_sha256": "8cb6d6e22007c04e7a7fddfffa18c70bb60f3efe2bf261ce201fafd584294be1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6305",
    "kind": "arxiv",
    "version": 1
  }
}