Pith Number

pith:7APHQQ4C

pith:2012:7APHQQ4CSFKCINISE6Z45VRC2L

not attested not anchored not stored refs pending

Average redundancy of the Shannon code for Markov sources

Neri Merhav, Wojciech Szpankowski

arxiv:1208.1225 v1 · 2012-08-06 · 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{7APHQQ4CSFKCINISE6Z45VRC2L}

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	2026-05-18T03:49:20.304226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f81e784382915424351227b3ced622d2e76e5f94fc4b5f897d3291e6f3e3d61b

Aliases

arxiv: 1208.1225 · arxiv_version: 1208.1225v1 · doi: 10.48550/arxiv.1208.1225 · pith_short_12: 7APHQQ4CSFKC · pith_short_16: 7APHQQ4CSFKCINIS · pith_short_8: 7APHQQ4C

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/7APHQQ4CSFKCINISE6Z45VRC2L \
  | 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: f81e784382915424351227b3ced622d2e76e5f94fc4b5f897d3291e6f3e3d61b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfac548de1656d759585a9c8f12478eadec8f19ae0a53b7354b9d17d8cc563f1",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-08-06T18:04:54Z",
    "title_canon_sha256": "62af3c617fc958a7f912d45d544a3e45d5c6860ffcefc4411d9edbe76475232b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1225",
    "kind": "arxiv",
    "version": 1
  }
}