Pith Number

pith:AJSB2AC6

pith:2026:AJSB2AC6ZLMTGEFVLMFIYKHP6Q

not attested not anchored not stored refs pending

The Kikuchi Hierarchy is Sharp for $k$XOR

Alexander Schmidhuber, Matthew B. Hastings

arxiv:2607.29672 v1 · 2026-07-31 · cs.DS · cs.CC · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJSB2AC6ZLMTGEFVLMFIYKHP6Q}

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	2026-08-03T01:41:43.079273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02641d005ecad93310b55b0a8c28eff438874e4d93ddcd841a3f758d1ba29d88

Aliases

arxiv: 2607.29672 · arxiv_version: 2607.29672v1 · doi: 10.48550/arxiv.2607.29672 · pith_short_12: AJSB2AC6ZLMT · pith_short_16: AJSB2AC6ZLMTGEFV · pith_short_8: AJSB2AC6

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/AJSB2AC6ZLMTGEFVLMFIYKHP6Q \
  | 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: 02641d005ecad93310b55b0a8c28eff438874e4d93ddcd841a3f758d1ba29d88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58e0037b8b55b8daf58a56bf15f4ee3ccb6f06346e03c117557a0495a930a7f9",
    "cross_cats_sorted": [
      "cs.CC",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-31T17:54:11Z",
    "title_canon_sha256": "d1a26f4f53861702b5188b3fe716de75b703fd997e8acfb29f301c5f1c111904"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29672",
    "kind": "arxiv",
    "version": 1
  }
}