Pith Number

pith:UJOBH5M4

pith:2005:UJOBH5M4QA6MBIBEFVCSAI6DF4

not attested not anchored not stored refs pending

Optimal Prefix Codes for Infinite Alphabets with Nonlinear Costs

Michael B. Baer

arxiv:cs/0511003 v3 · 2005-11-01 · cs.IT · cs.DS · 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{UJOBH5M4QA6MBIBEFVCSAI6DF4}

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	2026-05-18T00:58:08.923513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a25c13f59c803cc0a0242d452023c32f39c865a76acfe265ce83c9ffb4bbaec6

Aliases

arxiv: cs/0511003 · arxiv_version: cs/0511003v3 · doi: 10.48550/arxiv.cs/0511003 · pith_short_12: UJOBH5M4QA6M · pith_short_16: UJOBH5M4QA6MBIBE · pith_short_8: UJOBH5M4

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/UJOBH5M4QA6MBIBEFVCSAI6DF4 \
  | 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: a25c13f59c803cc0a0242d452023c32f39c865a76acfe265ce83c9ffb4bbaec6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cbeca30d69b30ab05e11a457655959b68ba5c7aef15e343b6b01de58973df92",
    "cross_cats_sorted": [
      "cs.DS",
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2005-11-01T07:00:11Z",
    "title_canon_sha256": "313a166d71af92036dbeed0df063a6195fafde8eac0a5cd05d95dea990ba661c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0511003",
    "kind": "arxiv",
    "version": 3
  }
}