Pith Number

pith:OI2TVPYU

pith:2018:OI2TVPYUZZBJT2HC4X75UOFQRU

not attested not anchored not stored refs pending

Khovanov homology detects the trefoils

John A. Baldwin, Steven Sivek

arxiv:1801.07634 v2 · 2018-01-23 · math.GT · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OI2TVPYUZZBJT2HC4X75UOFQRU}

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	2026-07-05T04:05:27.299944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72353abf14ce4299e8e2e5ffda38b08d21bb19451535204ffbe01786aa2a94f2

Aliases

arxiv: 1801.07634 · arxiv_version: 1801.07634v2 · doi: 10.48550/arxiv.1801.07634 · pith_short_12: OI2TVPYUZZBJ · pith_short_16: OI2TVPYUZZBJT2HC · pith_short_8: OI2TVPYU

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/OI2TVPYUZZBJT2HC4X75UOFQRU \
  | 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: 72353abf14ce4299e8e2e5ffda38b08d21bb19451535204ffbe01786aa2a94f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26d2bfb92c440f0735b80c61cbae4d38d0d687aecb880f93b8176588a026fb4e",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-01-23T16:15:13Z",
    "title_canon_sha256": "c237a3d013e2bfb7f35cd7d0efba7cfc4484cf302324ed93d4212f54ea9e6d06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07634",
    "kind": "arxiv",
    "version": 2
  }
}