Pith Number

pith:VMVEZBCB

pith:2021:VMVEZBCBVI2RGGE2E5KHZ5WWLH

not attested not anchored not stored refs pending

Fundamental Rate-Memory Tradeoff for Coded Caching in Presence of User Inactivity

Jialing Liao, Olav Tirkkonen

arxiv:2109.14680 v1 · 2021-09-29 · 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{VMVEZBCBVI2RGGE2E5KHZ5WWLH}

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	2026-07-05T03:18:43.303054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab2a4c8441aa3513189a27547cf6d659cac1f11eea371454a76b6db23c587349

Aliases

arxiv: 2109.14680 · arxiv_version: 2109.14680v1 · doi: 10.48550/arxiv.2109.14680 · pith_short_12: VMVEZBCBVI2R · pith_short_16: VMVEZBCBVI2RGGE2 · pith_short_8: VMVEZBCB

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/VMVEZBCBVI2RGGE2E5KHZ5WWLH \
  | 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: ab2a4c8441aa3513189a27547cf6d659cac1f11eea371454a76b6db23c587349

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0870be0201dc4c9c65033ac42aafe2552f5adc7b584cae393c13c3d675a6b01",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-09-29T19:31:40Z",
    "title_canon_sha256": "ae41ceb9675e54b335c20d9e342d1c73a43aa058b7fe1c2c1943c104ffff3c5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.14680",
    "kind": "arxiv",
    "version": 1
  }
}