Pith Number

pith:MQ7AFEAX

pith:2018:MQ7AFEAXMEHFUSGITHJQLYD3Y3

not attested not anchored not stored refs pending

The Optimal Memory-Rate Trade-off for the Non-uniform Centralized Caching Problem with Two Files under Uncoded Placement

Michael Gastpar, Pierre Quinton, Saeid Sahraei

arxiv:1808.07964 v2 · 2018-08-23 · 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{MQ7AFEAXMEHFUSGITHJQLYD3Y3}

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	2026-05-17T23:39:37.111011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

643e029017610e5a48c899d305e07bc6f852cd3b0b847af92816b3d15ce75666

Aliases

arxiv: 1808.07964 · arxiv_version: 1808.07964v2 · doi: 10.48550/arxiv.1808.07964 · pith_short_12: MQ7AFEAXMEHF · pith_short_16: MQ7AFEAXMEHFUSGI · pith_short_8: MQ7AFEAX

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/MQ7AFEAXMEHFUSGITHJQLYD3Y3 \
  | 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: 643e029017610e5a48c899d305e07bc6f852cd3b0b847af92816b3d15ce75666

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "699b4bfb9311b6224e9c7823a59c3b92adecf24e928555e2892cd8a8f47dba10",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-08-23T23:11:38Z",
    "title_canon_sha256": "1ff349a1493b0ed599f423706756262dea1659888594c241afa28fd87394f19b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07964",
    "kind": "arxiv",
    "version": 2
  }
}