Pith Number

pith:TKYNRNSF

pith:2019:TKYNRNSFX3O2KFLZHTN7UJJQM3

not attested not anchored not stored refs pending

Cabling in terms of immersed curves

Jonathan Hanselman, Liam Watson

arxiv:1908.04397 v1 · 2019-08-12 · 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{TKYNRNSFX3O2KFLZHTN7UJJQM3}

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.

Cited by

1 paper in Pith

Fractional Dehn twist coefficients and rank bounds for categorified link invariants

Receipt and verification

First computed	2026-07-05T06:20:15.775265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ab0d8b645bedda515793cdbfa253066f922fbd6f689e031d01394575a0d8f9d

Aliases

arxiv: 1908.04397 · arxiv_version: 1908.04397v1 · doi: 10.48550/arxiv.1908.04397 · pith_short_12: TKYNRNSFX3O2 · pith_short_16: TKYNRNSFX3O2KFLZ · pith_short_8: TKYNRNSF

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/TKYNRNSFX3O2KFLZHTN7UJJQM3 \
  | 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: 9ab0d8b645bedda515793cdbfa253066f922fbd6f689e031d01394575a0d8f9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efd80f234cf8a6c693b678ae8ebbc138b156308ec1eaaae10d4f27fab2e100d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-08-12T21:23:02Z",
    "title_canon_sha256": "736edeb17a79e3942544392a7c5eff51687b149857d4e8dc6b1152bd435a335c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04397",
    "kind": "arxiv",
    "version": 1
  }
}