Pith Number

pith:GHS5BCTF

pith:2012:GHS5BCTFE4XC7IRF2P3E3N7MSM

not attested not anchored not stored refs pending

Lens surgeries along the $n$-twisted Whitehead link

Masafumi Shimozawa, Noriko Maruyama, Teruhisa Kadokami

arxiv:1205.2311 v1 · 2012-05-10 · 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{GHS5BCTFE4XC7IRF2P3E3N7MSM}

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	2026-05-18T03:55:56.631445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31e5d08a65272e2fa225d3f64db7ec933288d749d2c03b63acfaf41669b80c5c

Aliases

arxiv: 1205.2311 · arxiv_version: 1205.2311v1 · doi: 10.48550/arxiv.1205.2311 · pith_short_12: GHS5BCTFE4XC · pith_short_16: GHS5BCTFE4XC7IRF · pith_short_8: GHS5BCTF

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/GHS5BCTFE4XC7IRF2P3E3N7MSM \
  | 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: 31e5d08a65272e2fa225d3f64db7ec933288d749d2c03b63acfaf41669b80c5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4382f5692b12c988b353091a3541d81163c5984a08c61903058a9e8a0cfd2da1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-10T17:01:14Z",
    "title_canon_sha256": "50cfb0192788fc5a8ee8f684e47e34874953589603871817b4ebfb14c427e477"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2311",
    "kind": "arxiv",
    "version": 1
  }
}