Pith Number

pith:NYX7WDUD

pith:2011:NYX7WDUDL2WXBEWXGSMEO7MDGS

not attested not anchored not stored refs pending

The Knotting-Unknotting Game played on Sums of Rational Shadows

William Johnson

arxiv:1107.2635 v2 · 2011-07-13 · math.CO · 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{NYX7WDUDL2WXBEWXGSMEO7MDGS}

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	2026-05-18T04:17:04.171490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e2ffb0e835ead7092d73498477d8334be0af0bffae1c8108edf7c22fca54b7c

Aliases

arxiv: 1107.2635 · arxiv_version: 1107.2635v2 · doi: 10.48550/arxiv.1107.2635 · pith_short_12: NYX7WDUDL2WX · pith_short_16: NYX7WDUDL2WXBEWX · pith_short_8: NYX7WDUD

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/NYX7WDUDL2WXBEWXGSMEO7MDGS \
  | 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: 6e2ffb0e835ead7092d73498477d8334be0af0bffae1c8108edf7c22fca54b7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "041621162f409b28389c99ff40c40af60124aa5370830b89da90e8fc98d6639a",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-13T19:25:19Z",
    "title_canon_sha256": "7fc1aa9eac41947dcb3573928f2c752977aadaeedc29ebc302be8e91419da6cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2635",
    "kind": "arxiv",
    "version": 2
  }
}