Pith Number

pith:2XFO7MUV

pith:2013:2XFO7MUVTE2WSVORQWDE4WYGOW

not attested not anchored not stored refs pending

Upper bound on the total number of knot $n$-mosaics

Ho Lee, Hwa Jeong Lee, Kyungpyo Hong, Seungsang Oh

arxiv:1303.7044 v3 · 2013-03-28 · 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{2XFO7MUVTE2WSVORQWDE4WYGOW}

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	2026-05-18T02:38:17.284344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5caefb29599356955d185864e5b0675b0810609c2811056c159f13f5fa7ced1

Aliases

arxiv: 1303.7044 · arxiv_version: 1303.7044v3 · doi: 10.48550/arxiv.1303.7044 · pith_short_12: 2XFO7MUVTE2W · pith_short_16: 2XFO7MUVTE2WSVOR · pith_short_8: 2XFO7MUV

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/2XFO7MUVTE2WSVORQWDE4WYGOW \
  | 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: d5caefb29599356955d185864e5b0675b0810609c2811056c159f13f5fa7ced1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a238388493907fe5e7dced735423b88bfd14d64c25aec51e62771d6136f8ce7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-28T06:02:21Z",
    "title_canon_sha256": "798167f216686b332ed5783ad007b5f6b407f16ef5ca1278efb7c3108fb5d61b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7044",
    "kind": "arxiv",
    "version": 3
  }
}