Pith Number

pith:JAZRNTUB

pith:2014:JAZRNTUB3QGQNET5Q2GJ4A6DCL

not attested not anchored not stored refs pending

Infinitely many knots admitting the same integer surgery and a 4-dimensional extension

In Dae Jong, John Luecke, John Osoinach, Tetsuya Abe

arxiv:1409.4851 v2 · 2014-09-17 · 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{JAZRNTUB3QGQNET5Q2GJ4A6DCL}

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	2026-05-18T02:26:51.465780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

483316ce81dc0d06927d868c9e03c312c5d642249ac5451567b663ee09b63337

Aliases

arxiv: 1409.4851 · arxiv_version: 1409.4851v2 · doi: 10.48550/arxiv.1409.4851 · pith_short_12: JAZRNTUB3QGQ · pith_short_16: JAZRNTUB3QGQNET5 · pith_short_8: JAZRNTUB

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/JAZRNTUB3QGQNET5Q2GJ4A6DCL \
  | 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: 483316ce81dc0d06927d868c9e03c312c5d642249ac5451567b663ee09b63337

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acde5a384292e494d245adc02a83c8186c3e8214e4394fb3d854da02893ba0fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-09-17T02:11:06Z",
    "title_canon_sha256": "38a2bd1fcb6755c88a2085d8e2bc2107dd567940686d8cbecef6f5d812c6e241"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4851",
    "kind": "arxiv",
    "version": 2
  }
}