Pith Number

pith:CWCVKJQY

pith:2015:CWCVKJQYXF375E4NQR56URWLDJ

not attested not anchored not stored refs pending

Homotopy string links and the $\kappa$-invariant

C. Shonkwiler, F. R. Cohen, R. Komendarczyk, R. Koytcheff

arxiv:1504.03233 v3 · 2015-04-13 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CWCVKJQYXF375E4NQR56URWLDJ}

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	2026-05-18T00:28:47.279521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1585552618b977fe938d847bea46cb1a63b76cd137c58499e623d884c54a82ae

Aliases

arxiv: 1504.03233 · arxiv_version: 1504.03233v3 · doi: 10.48550/arxiv.1504.03233 · pith_short_12: CWCVKJQYXF37 · pith_short_16: CWCVKJQYXF375E4N · pith_short_8: CWCVKJQY

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/CWCVKJQYXF375E4NQR56URWLDJ \
  | 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: 1585552618b977fe938d847bea46cb1a63b76cd137c58499e623d884c54a82ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45a008fb5e0ffcf4494c498041a8821499955008462b5f360e8dbe56a72d358e",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-04-13T16:03:55Z",
    "title_canon_sha256": "688c00febfe11039b3ab55338ac5420c6c068f2ec9fc9520f5461ea18be8f945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03233",
    "kind": "arxiv",
    "version": 3
  }
}