Pith Number

pith:RRRV3L4Z

pith:2015:RRRV3L4Z6VBNV3USPFQD6MTMCF

not attested not anchored not stored refs pending

$K$ Users Caching Two Files: An Improved Achievable Rate

Michael Gastpar, Saeid Sahraei

arxiv:1512.06682 v1 · 2015-12-21 · 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{RRRV3L4Z6VBNV3USPFQD6MTMCF}

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	2026-05-18T01:23:59.914291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c635daf99f542daee9279603f326c1153447641b72c6701442da339b5cf9915

Aliases

arxiv: 1512.06682 · arxiv_version: 1512.06682v1 · doi: 10.48550/arxiv.1512.06682 · pith_short_12: RRRV3L4Z6VBN · pith_short_16: RRRV3L4Z6VBNV3US · pith_short_8: RRRV3L4Z

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/RRRV3L4Z6VBNV3USPFQD6MTMCF \
  | 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: 8c635daf99f542daee9279603f326c1153447641b72c6701442da339b5cf9915

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a739ae6f907d0ce3f03cf00d3db8bd236b59e27dda8c8c306653a8a03e025697",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-12-21T16:12:36Z",
    "title_canon_sha256": "aa05c9588a54a43524dc12fd1eb94b078fbdd049f453d83de75dfbf26cd6d508"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06682",
    "kind": "arxiv",
    "version": 1
  }
}