Pith Number

pith:PTTGODPE

pith:2005:PTTGODPEDUAEOMG4EKXRO6KYQQ

not attested not anchored not stored refs pending

Optimal Prefix Codes with Fewer Distinct Codeword Lengths are Faster to Construct

Ahmed Belal, Amr Elmasry

arxiv:cs/0509015 v4 · 2005-09-06 · cs.DS · 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{PTTGODPEDUAEOMG4EKXRO6KYQQ}

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	2026-05-18T01:03:37.732816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ce6670de41d004730dc22af1779588435442cf5f2a16f86e6fd765db82c9524

Aliases

arxiv: cs/0509015 · arxiv_version: cs/0509015v4 · doi: 10.48550/arxiv.cs/0509015 · pith_short_12: PTTGODPEDUAE · pith_short_16: PTTGODPEDUAEOMG4 · pith_short_8: PTTGODPE

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/PTTGODPEDUAEOMG4EKXRO6KYQQ \
  | 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: 7ce6670de41d004730dc22af1779588435442cf5f2a16f86e6fd765db82c9524

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a676ee9c2a352660b07c9394e2bf4533b3392903404ccafd96e60260c36f8da",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2005-09-06T10:58:22Z",
    "title_canon_sha256": "5dddb7fc4c2dcc670368fa9ffeaff232b1cf376a2f73181c743ba4eee32adb0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0509015",
    "kind": "arxiv",
    "version": 4
  }
}