Pith Number

pith:J54BEVWO

pith:2012:J54BEVWOGEBCOPROGRAFVYZB2I

not attested not anchored not stored refs pending

Causal Rate Distortion Function on Abstract Alphabets: Optimal Reconstruction and Properties

Charalambos D. Charalambous, Christos K. Kourtellaris, Photios A. Stavrou

arxiv:1202.0895 v1 · 2012-02-04 · cs.IT · math.FA · math.IT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J54BEVWOGEBCOPROGRAFVYZB2I}

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	2026-05-18T04:03:05.847488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f781256ce3102273e2e34405ae321d22168224f69b5ae0caddc5a4b463d345b

Aliases

arxiv: 1202.0895 · arxiv_version: 1202.0895v1 · doi: 10.48550/arxiv.1202.0895 · pith_short_12: J54BEVWOGEBC · pith_short_16: J54BEVWOGEBCOPRO · pith_short_8: J54BEVWO

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/J54BEVWOGEBCOPROGRAFVYZB2I \
  | 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: 4f781256ce3102273e2e34405ae321d22168224f69b5ae0caddc5a4b463d345b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ef7c93e91d1091b629f1c42933a1e2b5e881cc7aa6f73a39b24fcb01bf09b52",
    "cross_cats_sorted": [
      "math.FA",
      "math.IT",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-02-04T13:23:32Z",
    "title_canon_sha256": "687517bb41ec110591ffe0af823c442b10983df9b414d9b35725828735aa260b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0895",
    "kind": "arxiv",
    "version": 1
  }
}