Pith Number

pith:SJRUT2P4

pith:2013:SJRUT2P47DAO4K2I4GKCVTOZRG

not attested not anchored not stored refs pending

The Relation Between Diagrams of a Knot and Its Unknotting Number

Chang-Il Rim, Kang-Il Ri, Yun-Ho An

arxiv:1303.7029 v2 · 2013-03-28 · math.GT · math.DG · math.GN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SJRUT2P47DAO4K2I4GKCVTOZRG}

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	2026-05-18T03:20:09.117832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

926349e9fcf8c0ee2b48e1942acdd989b6aed6d677d4b85ea390fcc34336bb42

Aliases

arxiv: 1303.7029 · arxiv_version: 1303.7029v2 · doi: 10.48550/arxiv.1303.7029 · pith_short_12: SJRUT2P47DAO · pith_short_16: SJRUT2P47DAO4K2I · pith_short_8: SJRUT2P4

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/SJRUT2P47DAO4K2I4GKCVTOZRG \
  | 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: 926349e9fcf8c0ee2b48e1942acdd989b6aed6d677d4b85ea390fcc34336bb42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05b2e8f46770422f1b2213b7bf7949249c2994043d780a7dec2ad7cc827808c3",
    "cross_cats_sorted": [
      "math.DG",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-28T03:28:28Z",
    "title_canon_sha256": "3193cbfc01f5147521af0c80187e341eee468f2e9363b4852cd8c52c87e4aabf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7029",
    "kind": "arxiv",
    "version": 2
  }
}