Pith Number

pith:EKLQXCZM

pith:2014:EKLQXCZMVIJCIJVZAXM5BSTCUR

not attested not anchored not stored refs pending

Crossing number of an alternating knot and canonical genus of its Whitehead double

Hee Jeong Jang, Sang Youl Lee

arxiv:1409.0594 v2 · 2014-09-02 · 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{EKLQXCZMVIJCIJVZAXM5BSTCUR}

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	2026-05-18T01:31:11.768862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22970b8b2caa122426b905d9d0ca62a44c8ed72d41c0b0c4b203eda8de99ad9b

Aliases

arxiv: 1409.0594 · arxiv_version: 1409.0594v2 · doi: 10.48550/arxiv.1409.0594 · pith_short_12: EKLQXCZMVIJC · pith_short_16: EKLQXCZMVIJCIJVZ · pith_short_8: EKLQXCZM

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/EKLQXCZMVIJCIJVZAXM5BSTCUR \
  | 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: 22970b8b2caa122426b905d9d0ca62a44c8ed72d41c0b0c4b203eda8de99ad9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f497c26e9fa02b830975b8105cf4fc2e7ee35e7a63040e57e682100a46055ef4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-09-02T02:38:40Z",
    "title_canon_sha256": "2639269ebfd8d6c04c3478871cf908c7be3afbfb4d567c4fd041036dd8ab9dd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0594",
    "kind": "arxiv",
    "version": 2
  }
}