Pith Number

pith:DFDAVRKY

pith:2026:DFDAVRKYN6B3SGGO56SJBABA6Z

not attested not anchored not stored refs pending

Discrete homotopy groups of cubical sets

Daisuke Kishimoto, Yichen Tong

arxiv:2606.28693 v1 · 2026-06-27 · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DFDAVRKYN6B3SGGO56SJBABA6Z}

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	2026-06-30T01:16:47.995033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19460ac5586f83b918ceefa4908020f6547c6283325294532384fb2a9ab45b61

Aliases

arxiv: 2606.28693 · arxiv_version: 2606.28693v1 · doi: 10.48550/arxiv.2606.28693 · pith_short_12: DFDAVRKYN6B3 · pith_short_16: DFDAVRKYN6B3SGGO · pith_short_8: DFDAVRKY

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/DFDAVRKYN6B3SGGO56SJBABA6Z \
  | 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: 19460ac5586f83b918ceefa4908020f6547c6283325294532384fb2a9ab45b61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b2ab6a0656b7a041a372a4b056aa8644b72d9c0317da72f1d2f16eb19e99a44",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-06-27T02:25:18Z",
    "title_canon_sha256": "d350e6e95aa0b419d325112b52e513e786e3c089eff24a088c59f6a1d4ae3bdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28693",
    "kind": "arxiv",
    "version": 1
  }
}