Pith Number

pith:PXIQL4CP

pith:2026:PXIQL4CPDKYDXZGN5SK4RLPHAF

not attested not anchored not stored refs pending

Optimality of Bang-Bang Switching for Breaking the Chu Limit via Time-Modulated Matching

Miguel Rodrigo Castellanos, Mohamed Akrout

arxiv:2607.23688 v1 · 2026-07-26 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PXIQL4CPDKYDXZGN5SK4RLPHAF}

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	2026-07-28T01:23:05.695183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dd105f04f1ab03be4cdec95c8ade701529425cc92ef94b40544f51c19f4f147

Aliases

arxiv: 2607.23688 · arxiv_version: 2607.23688v1 · doi: 10.48550/arxiv.2607.23688 · pith_short_12: PXIQL4CPDKYD · pith_short_16: PXIQL4CPDKYDXZGN · pith_short_8: PXIQL4CP

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/PXIQL4CPDKYDXZGN5SK4RLPHAF \
  | 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: 7dd105f04f1ab03be4cdec95c8ade701529425cc92ef94b40544f51c19f4f147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "954fc4aaf3cc39da1d7a4c14703c3ae61bce654505aadd884fea0d8ddc940861",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-07-26T14:34:33Z",
    "title_canon_sha256": "139be985f1120f7539c5dd95ad14731c0592852504ed049a22cba7e9e2438c08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23688",
    "kind": "arxiv",
    "version": 1
  }
}