Pith Number

pith:ODYOUD2G

pith:2025:ODYOUD2GOSKBVPVL7D7GUII2DK

not attested not anchored not stored refs pending

Discrete Layered Entropy, Conditional Compression and a Tighter Strong Functional Representation Lemma

Cheuk Ting Li

arxiv:2501.13736 v4 · 2025-01-23 · 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{ODYOUD2GOSKBVPVL7D7GUII2DK}

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.

Cited by

1 paper in Pith

Rate-Cost Tradeoffs in Nonlinear Control

Receipt and verification

First computed	2026-07-28T02:24:17.318195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70f0ea0f4674941abeabf8fe6a211a1aaa68804478d4d3804af76df3620e26ba

Aliases

arxiv: 2501.13736 · arxiv_version: 2501.13736v4 · doi: 10.48550/arxiv.2501.13736 · pith_short_12: ODYOUD2GOSKB · pith_short_16: ODYOUD2GOSKBVPVL · pith_short_8: ODYOUD2G

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/ODYOUD2GOSKBVPVL7D7GUII2DK \
  | 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: 70f0ea0f4674941abeabf8fe6a211a1aaa68804478d4d3804af76df3620e26ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33b4c4b8e0063cd6ea26b7c68bea853dd60682d42750f7e066ddc08683d454cf",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-01-23T15:12:11Z",
    "title_canon_sha256": "014284663e4f823303c1b37bb5619a505a37ba1bf0d6f7c5a10631458dffe47b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.13736",
    "kind": "arxiv",
    "version": 4
  }
}