Pith Number

pith:HZBMXVV5

pith:2012:HZBMXVV5N5SLGRVN2PWYJYASGQ

not attested not anchored not stored refs pending

Fundamental Limits of Caching

Mohammad Ali Maddah-Ali, Urs Niesen

arxiv:1209.5807 v2 · 2012-09-26 · 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{HZBMXVV5N5SLGRVN2PWYJYASGQ}

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	2026-05-18T02:52:42.282540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e42cbd6bd6f64b346add3ed84e0123428c45576d4cdb875863cc57dd86d526a

Aliases

arxiv: 1209.5807 · arxiv_version: 1209.5807v2 · doi: 10.48550/arxiv.1209.5807 · pith_short_12: HZBMXVV5N5SL · pith_short_16: HZBMXVV5N5SLGRVN · pith_short_8: HZBMXVV5

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/HZBMXVV5N5SLGRVN2PWYJYASGQ \
  | 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: 3e42cbd6bd6f64b346add3ed84e0123428c45576d4cdb875863cc57dd86d526a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3206bb98207b30fd263b9b0563a9556c6e844658b83884657bfd814b0a33a30",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-09-26T01:23:41Z",
    "title_canon_sha256": "f40619fcfde8b767d0dd1cd43ad2c52f22d36e8f4abd8334ea6ca8505cd9cf1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5807",
    "kind": "arxiv",
    "version": 2
  }
}