Pith Number

pith:F3EGCZGC

pith:2011:F3EGCZGCZPKAZH3UNR2JOH3PTI

not attested not anchored not stored refs pending

The canonical genus for Whitehead doubles of a family of alternating knots

Hee Jeong Jang, Sang Youl Lee

arxiv:1106.1259 v2 · 2011-06-07 · 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{F3EGCZGCZPKAZH3UNR2JOH3PTI}

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	2026-05-18T04:20:23.002725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ec86164c2cbd40c9f746c74971f6f9a19af7239e0ee77b94feb5e1973b1c367

Aliases

arxiv: 1106.1259 · arxiv_version: 1106.1259v2 · doi: 10.48550/arxiv.1106.1259 · pith_short_12: F3EGCZGCZPKA · pith_short_16: F3EGCZGCZPKAZH3U · pith_short_8: F3EGCZGC

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/F3EGCZGCZPKAZH3UNR2JOH3PTI \
  | 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: 2ec86164c2cbd40c9f746c74971f6f9a19af7239e0ee77b94feb5e1973b1c367

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecf5be7511fb3225d646027b7612eec8d69b39560e82a21be006e46f224006eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-06-07T05:46:43Z",
    "title_canon_sha256": "2bc5685a8ad921cd31c3b2851d10fd04fdaa3dee222d9f17441fe731bb469d13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1259",
    "kind": "arxiv",
    "version": 2
  }
}