Pith Number

pith:URK6HJRW

pith:2011:URK6HJRWSCDQ2NTDQ366FCFCUK

not attested not anchored not stored refs pending

Prime knots whose arc index is smaller than the crossing number

Gyo Taek Jin, Hwa Jeong Lee

arxiv:1106.2723 v1 · 2011-06-13 · 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{URK6HJRWSCDQ2NTDQ366FCFCUK}

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	2026-05-18T04:20:04.247650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a455e3a63690870d366386fde288a2a280d7b3a0c406f183d286c9f2ac2e9f0f

Aliases

arxiv: 1106.2723 · arxiv_version: 1106.2723v1 · doi: 10.48550/arxiv.1106.2723 · pith_short_12: URK6HJRWSCDQ · pith_short_16: URK6HJRWSCDQ2NTD · pith_short_8: URK6HJRW

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/URK6HJRWSCDQ2NTDQ366FCFCUK \
  | 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: a455e3a63690870d366386fde288a2a280d7b3a0c406f183d286c9f2ac2e9f0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d967b491ea06897e62b299b0fddb41c06a73c5f9dc84ad2caae618b9133a3bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-06-13T14:50:36Z",
    "title_canon_sha256": "7a181607a30ebb0302a34caef3401af31485fc1c333f5658ce6dd5d69b432c09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2723",
    "kind": "arxiv",
    "version": 1
  }
}