Pith Number

pith:AQEZH7OY

pith:2012:AQEZH7OY7DVYL7XULOOGQD7HBL

not attested not anchored not stored refs pending

The Y-triangle move does not preserve Intrinsic Knottedness

Erica Flapan, Ramin Naimi

arxiv:1205.4798 v1 · 2012-05-22 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQEZH7OY7DVYL7XULOOGQD7HBL}

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	2026-05-18T03:55:11.638638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

040993fdd8f8eb85fef45b9c680fe70ac0bb089d578664452fc99703e8881c1d

Aliases

arxiv: 1205.4798 · arxiv_version: 1205.4798v1 · doi: 10.48550/arxiv.1205.4798 · pith_short_12: AQEZH7OY7DVY · pith_short_16: AQEZH7OY7DVYL7XU · pith_short_8: AQEZH7OY

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/AQEZH7OY7DVYL7XULOOGQD7HBL \
  | 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: 040993fdd8f8eb85fef45b9c680fe70ac0bb089d578664452fc99703e8881c1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d78ce462373cfbdb132eeb4e0582babb24888501d2afdd07d038f0450ae6dead",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-22T03:51:25Z",
    "title_canon_sha256": "c6565e62d783a5884b5b6cee89a0c660ceaee28fa1ca3b3652fdeff9aa2fe9cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4798",
    "kind": "arxiv",
    "version": 1
  }
}