Pith Number

pith:R4KIEYEW

pith:2011:R4KIEYEWGH4R2D6WJ6O4ER4JIF

not attested not anchored not stored refs pending

Exceptional surgeries on $(-2,p,p)$-pretzel knots

In Dae Jong, Kazuhiro Ichihara, Yuichi Kabaya

arxiv:1102.1118 v1 · 2011-02-06 · 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{R4KIEYEWGH4R2D6WJ6O4ER4JIF}

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	2026-05-18T04:29:54.981461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f1482609631f91d0fd64f9dc2478941596b5db6af7ba46bdb202392569c7f7b

Aliases

arxiv: 1102.1118 · arxiv_version: 1102.1118v1 · doi: 10.48550/arxiv.1102.1118 · pith_short_12: R4KIEYEWGH4R · pith_short_16: R4KIEYEWGH4R2D6W · pith_short_8: R4KIEYEW

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/R4KIEYEWGH4R2D6WJ6O4ER4JIF \
  | 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: 8f1482609631f91d0fd64f9dc2478941596b5db6af7ba46bdb202392569c7f7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e788740928859034a15b8eb579c4bd06e6a4b9f32f45ac9ebaaf58a1df0b02f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-02-06T03:08:37Z",
    "title_canon_sha256": "b0b1b0300bd4ac671ebe5de1defd212eedde05c7260cfbb2f7a9d5ffa2396e67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1118",
    "kind": "arxiv",
    "version": 1
  }
}