Pith Number

pith:X52NNZCE

pith:2018:X52NNZCEZQKLM4AYX7UDHSJNW4

not attested not anchored not stored refs pending

Tight Information Theoretic Converse Results for some Pliable Index Coding Problems

Daniela Tuninetti, Tang Liu

arxiv:1810.02451 v2 · 2018-10-04 · 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{X52NNZCEZQKLM4AYX7UDHSJNW4}

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	2026-05-18T00:03:44.919678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf74d6e444cc14b67018bfe833c92db7218461c9bb01369799afec0b0feb74b4

Aliases

arxiv: 1810.02451 · arxiv_version: 1810.02451v2 · doi: 10.48550/arxiv.1810.02451 · pith_short_12: X52NNZCEZQKL · pith_short_16: X52NNZCEZQKLM4AY · pith_short_8: X52NNZCE

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/X52NNZCEZQKLM4AYX7UDHSJNW4 \
  | 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: bf74d6e444cc14b67018bfe833c92db7218461c9bb01369799afec0b0feb74b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc6ecb874f68857ef1ccbc98ab959638cdeed37ed010af8d06a26bdb5ac009c1",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-10-04T23:02:54Z",
    "title_canon_sha256": "06899abbe19650871dffab5c6af1d3f5d202be59e3b7f9deeb1a0922efd93a1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02451",
    "kind": "arxiv",
    "version": 2
  }
}