Pith Number

pith:WBGB5GNL

pith:2026:WBGB5GNLJDUS73XLKLQKZTAH7B

not attested not anchored not stored refs pending

On the Complexity of the Circuit Width Problem

Yinchen Liu, Zhengfeng Ji, Zhe'ou Zhou

arxiv:2606.18201 v1 · 2026-06-16 · 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{WBGB5GNLJDUS73XLKLQKZTAH7B}

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	2026-06-19T16:10:50.786822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b04c1e99ab48e92feeeb52e0accc07f852ded68ef50ce40b9183a68b3132c4b7

Aliases

arxiv: 2606.18201 · arxiv_version: 2606.18201v1 · doi: 10.48550/arxiv.2606.18201 · pith_short_12: WBGB5GNLJDUS · pith_short_16: WBGB5GNLJDUS73XL · pith_short_8: WBGB5GNL

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/WBGB5GNLJDUS73XLKLQKZTAH7B \
  | 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: b04c1e99ab48e92feeeb52e0accc07f852ded68ef50ce40b9183a68b3132c4b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acea6d5b1daae5b9a939128025e4dfa00bac38fa6e6f0f6591f208d84e556746",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-06-16T17:31:50Z",
    "title_canon_sha256": "6d104706b5e9ddf3155d340aa9199ea5a7ede5683096cbb5f4688ad62e47fce1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18201",
    "kind": "arxiv",
    "version": 1
  }
}