Pith Number

pith:YRS2G7VI

pith:2010:YRS2G7VIQE7DB6PE3IUQ4W54I6

not attested not anchored not stored refs pending

The complete splitting number of a lassoed link

Ayaka Shimizu

arxiv:1006.5563 v3 · 2010-06-29 · 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{YRS2G7VIQE7DB6PE3IUQ4W54I6}

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	2026-05-18T04:32:11.904820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c465a37ea8813e30f9e4da290e5bbc47b4b9b84dc8a09e5f4e356614b6d65f1b

Aliases

arxiv: 1006.5563 · arxiv_version: 1006.5563v3 · doi: 10.48550/arxiv.1006.5563 · pith_short_12: YRS2G7VIQE7D · pith_short_16: YRS2G7VIQE7DB6PE · pith_short_8: YRS2G7VI

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/YRS2G7VIQE7DB6PE3IUQ4W54I6 \
  | 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: c465a37ea8813e30f9e4da290e5bbc47b4b9b84dc8a09e5f4e356614b6d65f1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f7ae842251fe07a0e8d682b7371efd51bea672f267626bf271836d6ac7b9b04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-06-29T10:51:41Z",
    "title_canon_sha256": "28264b1d7d1782aeb794a862e75c2852cc4727329d7468c54a81dedd816155f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5563",
    "kind": "arxiv",
    "version": 3
  }
}