Pith Number

pith:CXSWDSS3

pith:1997:CXSWDSS3JNM55IXXMQMRXBMHVV

not attested not anchored not stored refs pending

Asymptotic Redundancies for Universal Quantum Coding

Christian Krattenthaler, Paul B. Slater

arxiv:math/9705212 v1 · 1997-05-02 · math.PR · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXSWDSS3JNM55IXXMQMRXBMHVV}

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	2026-05-18T00:58:05.000369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15e561ca5b4b59dea2f764191b8587ad69112bbe79ed51419b22b86c5999792c

Aliases

arxiv: math/9705212 · arxiv_version: math/9705212v1 · doi: 10.48550/arxiv.math/9705212 · pith_short_12: CXSWDSS3JNM5 · pith_short_16: CXSWDSS3JNM55IXX · pith_short_8: CXSWDSS3

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/CXSWDSS3JNM55IXXMQMRXBMHVV \
  | 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: 15e561ca5b4b59dea2f764191b8587ad69112bbe79ed51419b22b86c5999792c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1fc93657b9e04f328ac097f32482dc27d8483a228d4f37d7e88f9c60178b4b8",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "1997-05-02T00:00:00Z",
    "title_canon_sha256": "36b96c46390bc4272d780b6de12729a0fcb4ef46091f3d94989285a298ad2f54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9705212",
    "kind": "arxiv",
    "version": 1
  }
}