Pith Number

pith:IJ7BIQDB

pith:2005:IJ7BIQDBHG4MA7HT7PAKMK7ZHD

not attested not anchored not stored refs pending

Tight Bounds on the Redundancy of Huffman Codes

Ali Kakhbod, Payam Pakzad, Soheil Mohajer

arxiv:cs/0508039 v3 · 2005-08-04 · 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{IJ7BIQDBHG4MA7HT7PAKMK7ZHD}

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	2026-05-18T00:58:26.769851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

427e14406139b8c07cf3fbc0a62bf938f4f7126d3968bd656e7743409840f9f6

Aliases

arxiv: cs/0508039 · arxiv_version: cs/0508039v3 · doi: 10.48550/arxiv.cs/0508039 · pith_short_12: IJ7BIQDBHG4M · pith_short_16: IJ7BIQDBHG4MA7HT · pith_short_8: IJ7BIQDB

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/IJ7BIQDBHG4MA7HT7PAKMK7ZHD \
  | 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: 427e14406139b8c07cf3fbc0a62bf938f4f7126d3968bd656e7743409840f9f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "755aacfac592cfab82dd2656a86571cb043b71fcb0f93c175354f03676959ea1",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2005-08-04T19:29:18Z",
    "title_canon_sha256": "7a45a796fd711243c3cb62fab02095cd75ed8d5789d31e826d71ed01919ee07d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0508039",
    "kind": "arxiv",
    "version": 3
  }
}