Pith Number

pith:Z6LUBAQF

pith:2026:Z6LUBAQFMVTTLVNM2ZK5DFVGNM

not attested not anchored not stored refs pending

Strong Refutation of Random Ordering CSPs

Xifan Yu

arxiv:2607.09410 v1 · 2026-07-10 · cs.DS · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z6LUBAQFMVTTLVNM2ZK5DFVGNM}

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	2026-07-13T01:19:11.174287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf97408205656735d5acd655d196a66b3fcf88f551e937bd75aed2fd5f6d16f7

Aliases

arxiv: 2607.09410 · arxiv_version: 2607.09410v1 · doi: 10.48550/arxiv.2607.09410 · pith_short_12: Z6LUBAQFMVTT · pith_short_16: Z6LUBAQFMVTTLVNM · pith_short_8: Z6LUBAQF

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/Z6LUBAQFMVTTLVNM2ZK5DFVGNM \
  | 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: cf97408205656735d5acd655d196a66b3fcf88f551e937bd75aed2fd5f6d16f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b49ad384ad2a1d0f39169c8d244f67e11777f086334803fb3a0173f57dd288a",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-10T13:43:24Z",
    "title_canon_sha256": "dac8963467b0c7446859ab8689a6de8325fa3448ec3481cd3c24115dab1b5c48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09410",
    "kind": "arxiv",
    "version": 1
  }
}