Pith Number

pith:I7OB3Q3K

pith:2016:I7OB3Q3KIVZHSGO4VWLGXRJSSY

not attested not anchored not stored refs pending

The Exact Rate-Memory Tradeoff for Caching with Uncoded Prefetching

A. Salman Avestimehr, Mohammad Ali Maddah-Ali, Qian Yu

arxiv:1609.07817 v3 · 2016-09-25 · 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{I7OB3Q3KIVZHSGO4VWLGXRJSSY}

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	2026-05-17T23:53:52.503452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47dc1dc36a45727919dcad966bc532963e3866de434316b623fdaf2f2100d6af

Aliases

arxiv: 1609.07817 · arxiv_version: 1609.07817v3 · doi: 10.48550/arxiv.1609.07817 · pith_short_12: I7OB3Q3KIVZH · pith_short_16: I7OB3Q3KIVZHSGO4 · pith_short_8: I7OB3Q3K

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/I7OB3Q3KIVZHSGO4VWLGXRJSSY \
  | 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: 47dc1dc36a45727919dcad966bc532963e3866de434316b623fdaf2f2100d6af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8099bc8873bec012a0680370b7bd82ec7861613c1f60fd6c19bbfd4a9323f4e6",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-09-25T23:57:27Z",
    "title_canon_sha256": "5d27d977dff2cb3e2e83a461660118c0b1b1f8a8126d79d97a72c2db85e2257f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07817",
    "kind": "arxiv",
    "version": 3
  }
}