Pith Number

pith:JYBUQLVG

pith:2007:JYBUQLVGGNYSOBCWPO7PDXHBZL

not attested not anchored not stored refs pending

Tight Bounds on the Average Length, Entropy, and Redundancy of Anti-Uniform Huffman Codes

Ali Kakhbod, Soheil Mohajer

arxiv:0706.3480 v1 · 2007-06-23 · 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{JYBUQLVGGNYSOBCWPO7PDXHBZL}

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	2026-05-18T03:50:09.433497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e03482ea633712704567bbef1dce1caf6f0ce9aa8ffe841845b42d0f0910311

Aliases

arxiv: 0706.3480 · arxiv_version: 0706.3480v1 · doi: 10.48550/arxiv.0706.3480 · pith_short_12: JYBUQLVGGNYS · pith_short_16: JYBUQLVGGNYSOBCW · pith_short_8: JYBUQLVG

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/JYBUQLVGGNYSOBCWPO7PDXHBZL \
  | 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: 4e03482ea633712704567bbef1dce1caf6f0ce9aa8ffe841845b42d0f0910311

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12fb00e6d86d7e0e4c731bcb794b6b4e83a30e42580c49d095a455130e651059",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2007-06-23T21:18:36Z",
    "title_canon_sha256": "652d618df0c2f2eaebf459181692de5b8a5c3fa77ecad586d08f13c88aab71cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.3480",
    "kind": "arxiv",
    "version": 1
  }
}