Pith Number

pith:WIQL43G7

pith:2008:WIQL43G7EGZDYR2HD5CVCQGJAH

not attested not anchored not stored refs pending

Finite surgeries on three-tangle pretzel knots

D. Futer, K. Shimokawa, M. Ishikawa, T. Mattman, Y. Kabaya

arxiv:0809.4278 v2 · 2008-09-24 · 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{WIQL43G7EGZDYR2HD5CVCQGJAH}

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	2026-05-18T02:41:51.488571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b220be6cdf21b23c47471f455140c901e3c6411479e2259c1d684527d3a09433

Aliases

arxiv: 0809.4278 · arxiv_version: 0809.4278v2 · doi: 10.48550/arxiv.0809.4278 · pith_short_12: WIQL43G7EGZD · pith_short_16: WIQL43G7EGZDYR2H · pith_short_8: WIQL43G7

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/WIQL43G7EGZDYR2HD5CVCQGJAH \
  | 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: b220be6cdf21b23c47471f455140c901e3c6411479e2259c1d684527d3a09433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff7e973fda6b31e248b17a66209e92ef513744d84eecac4b6c3a016db5560471",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-09-24T21:55:10Z",
    "title_canon_sha256": "21a23cd0e06ef1fe64a86b28639041d9d2f4c9593b325b20486ff013f2a83692"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4278",
    "kind": "arxiv",
    "version": 2
  }
}