Pith Number

pith:TDSGQNZO

pith:2026:TDSGQNZOCYVFUKJ64AJEZTUPF4

not attested not anchored not stored refs pending

Kikuchi Graphs of Random Hypergraphs are Approximately Johnson

Pravesh K. Kothari

arxiv:2606.08597 v1 · 2026-06-07 · cs.DS · 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{TDSGQNZOCYVFUKJ64AJEZTUPF4}

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	2026-06-09T01:05:41.053812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98e468372e162a5a293ee0124cce8f2f151b16365ed10683a963725691458929

Aliases

arxiv: 2606.08597 · arxiv_version: 2606.08597v1 · doi: 10.48550/arxiv.2606.08597 · pith_short_12: TDSGQNZOCYVF · pith_short_16: TDSGQNZOCYVFUKJ6 · pith_short_8: TDSGQNZO

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/TDSGQNZOCYVFUKJ64AJEZTUPF4 \
  | 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: 98e468372e162a5a293ee0124cce8f2f151b16365ed10683a963725691458929

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2cb6b098495a8926ac0e9f94835c193c32ff5c3535f351b3a4c17fadbfa8de9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-06-07T12:20:36Z",
    "title_canon_sha256": "0dc0fce41441503d60aeec130bd3ca7a4cd59275177169d5a56607d8f5026837"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08597",
    "kind": "arxiv",
    "version": 1
  }
}