Pith Number

pith:EXJP5UOR

pith:2008:EXJP5UOR6EZDZ5WR462B3EU2B5

not attested not anchored not stored refs pending

Information Spectrum Approach to Second-Order Coding Rate in Channel Coding

Masahito Hayashi

arxiv:0801.2242 v2 · 2008-01-15 · 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{EXJP5UOR6EZDZ5WR462B3EU2B5}

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	2026-05-18T00:59:11.940624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25d2fed1d1f1323cf6d1e7b41d929a0f6684c705d85b66ba45b9149d1022f66c

Aliases

arxiv: 0801.2242 · arxiv_version: 0801.2242v2 · doi: 10.48550/arxiv.0801.2242 · pith_short_12: EXJP5UOR6EZD · pith_short_16: EXJP5UOR6EZDZ5WR · pith_short_8: EXJP5UOR

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/EXJP5UOR6EZDZ5WR462B3EU2B5 \
  | 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: 25d2fed1d1f1323cf6d1e7b41d929a0f6684c705d85b66ba45b9149d1022f66c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "131573e796a9906c32246230060b853e8c07ab178b9856638e114b9e46184a62",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2008-01-15T10:00:46Z",
    "title_canon_sha256": "3285ef4f7aae12dc820dc33ea68a247c17d95dfba94ba75efe761d01ff8f8e13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.2242",
    "kind": "arxiv",
    "version": 2
  }
}