Pith Number

pith:F7BDVCPS

pith:2025:F7BDVCPSXXP7JYQOO3TNWDPKUA

not attested not anchored not stored refs pending

A Low-Dimensional Counterexample to the HK-Conjecture

Rachel Chaiser

arxiv:2507.05425 v1 · 2025-07-07 · math.OA · math.GT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F7BDVCPSXXP7JYQOO3TNWDPKUA}

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

A trace pairing and Elliott invariant for groupoid homology

Receipt and verification

First computed	2026-07-05T11:33:30.156197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fc23a89f2bddff4e20e76e6db0deaa035b7076555f65748a0a4536270d6a723

Aliases

arxiv: 2507.05425 · arxiv_version: 2507.05425v1 · doi: 10.48550/arxiv.2507.05425 · pith_short_12: F7BDVCPSXXP7 · pith_short_16: F7BDVCPSXXP7JYQO · pith_short_8: F7BDVCPS

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/F7BDVCPSXXP7JYQOO3TNWDPKUA \
  | 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: 2fc23a89f2bddff4e20e76e6db0deaa035b7076555f65748a0a4536270d6a723

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3bfe23a99ad8c67689699c2709b1d8f5d12f9075346d784f0c4e0247c851b2f",
    "cross_cats_sorted": [
      "math.GT",
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-07-07T19:13:32Z",
    "title_canon_sha256": "5ac7ac802a74573589c824715e962e8ed1f5cf0a565404ced9ad06b1a993ef01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05425",
    "kind": "arxiv",
    "version": 1
  }
}