Pith Number

pith:QOFME47V

pith:2015:QOFME47VPUTJ6MERMV2X7QJ54M

not attested not anchored not stored refs pending

Parabolic generating pairs of genus-one 2-bridge knot groups

Donghi Lee, Makoto Sakuma

arxiv:1508.03793 v3 · 2015-08-16 · math.GR · 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{QOFME47VPUTJ6MERMV2X7QJ54M}

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	2026-05-18T01:31:52.724251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

838ac273f57d269f309165757fc13de33c6ca83878c42af5d2fceb3d120f8bd8

Aliases

arxiv: 1508.03793 · arxiv_version: 1508.03793v3 · doi: 10.48550/arxiv.1508.03793 · pith_short_12: QOFME47VPUTJ · pith_short_16: QOFME47VPUTJ6MER · pith_short_8: QOFME47V

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/QOFME47VPUTJ6MERMV2X7QJ54M \
  | 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: 838ac273f57d269f309165757fc13de33c6ca83878c42af5d2fceb3d120f8bd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79b3cd10882c5dd522c94eae63973b8d907b202fffeb8aac739d0a5e1b092474",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-08-16T05:04:55Z",
    "title_canon_sha256": "f9bb4f06392edc92c4d19fc0f0c38712e9e9e8f049c603c5ee5b845a8cb0e853"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03793",
    "kind": "arxiv",
    "version": 3
  }
}