Pith Number

pith:HPTUU7AP

pith:2025:HPTUU7APBNBCCZZ2HFLNKMCUDO

not attested not anchored not stored refs pending

The Construction of Near-optimal Universal Coding of Integers

Wei Yan, Yunghsiang S. Han

arxiv:2507.23180 v2 · 2025-07-31 · 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{HPTUU7APBNBCCZZ2HFLNKMCUDO}

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	2026-05-17T23:39:17.790104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3be74a7c0f0b4221673a3956d530541bbcfcf85d03dc86268ea812353a3e832a

Aliases

arxiv: 2507.23180 · arxiv_version: 2507.23180v2 · doi: 10.48550/arxiv.2507.23180 · pith_short_12: HPTUU7APBNBC · pith_short_16: HPTUU7APBNBCCZZ2 · pith_short_8: HPTUU7AP

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/HPTUU7APBNBCCZZ2HFLNKMCUDO \
  | 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: 3be74a7c0f0b4221673a3956d530541bbcfcf85d03dc86268ea812353a3e832a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec0d52df8421bd5b8b3d3c0bf2a216c58fc64da872d6d2071b8e36201a77f88e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-07-31T01:21:06Z",
    "title_canon_sha256": "730198a0f37b0e88d5dae5fe18b95f08ece3201db8863658345de36a6a9261c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23180",
    "kind": "arxiv",
    "version": 2
  }
}