Pith Number

pith:WOLEQHC3

pith:2021:WOLEQHC3SDYYSXDZB5P6B46IZB

not attested not anchored not stored refs pending

Khovanov homology and exotic surfaces in the 4-ball

Isaac Sundberg, Kyle Hayden

arxiv:2108.04810 v2 · 2021-08-10 · 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{WOLEQHC3SDYYSXDZB5P6B46IZB}

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

3 papers in Pith

Handle decompositions and the 1-dimensional inputs skein lasagna module

Reidemeister and movie moves for involutive links

Receipt and verification

First computed	2026-07-05T05:16:31.317854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b396481c5b90f1895c790f5fe0f3c8c87da2093ebf40c9024c5986fd10623140

Aliases

arxiv: 2108.04810 · arxiv_version: 2108.04810v2 · doi: 10.48550/arxiv.2108.04810 · pith_short_12: WOLEQHC3SDYY · pith_short_16: WOLEQHC3SDYYSXDZ · pith_short_8: WOLEQHC3

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/WOLEQHC3SDYYSXDZB5P6B46IZB \
  | 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: b396481c5b90f1895c790f5fe0f3c8c87da2093ebf40c9024c5986fd10623140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cc3692766350c0224f34c4431a35c8b90a0f016ce4069af5bb0a6fab7e32f5f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-08-10T17:50:24Z",
    "title_canon_sha256": "3a094993eb455f9008dd68c4881f711500b19309dae0a2bcf840a32b90dac763"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.04810",
    "kind": "arxiv",
    "version": 2
  }
}