Pith Number

pith:ZZDKXWNJ

pith:2025:ZZDKXWNJ7EJ343BA5VYOT3VEAI

not attested not anchored not stored refs pending

On Hierarchical Coded Caching with Offline Users

B. Sundar Rajan, Rashid Ummer N.T.

arxiv:2507.00727 v1 · 2025-07-01 · 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{ZZDKXWNJ7EJ343BA5VYOT3VEAI}

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	2026-07-05T11:30:13.587011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce46abd9a9f913be6c20ed70e9eea4020576a9c97841c6af53e2445e095b539f

Aliases

arxiv: 2507.00727 · arxiv_version: 2507.00727v1 · doi: 10.48550/arxiv.2507.00727 · pith_short_12: ZZDKXWNJ7EJ3 · pith_short_16: ZZDKXWNJ7EJ343BA · pith_short_8: ZZDKXWNJ

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/ZZDKXWNJ7EJ343BA5VYOT3VEAI \
  | 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: ce46abd9a9f913be6c20ed70e9eea4020576a9c97841c6af53e2445e095b539f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "909e98ac72516f1bfbf9de519d69a9cf820b99fe7b20b12037a41f0e0f40cdbf",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-07-01T13:17:46Z",
    "title_canon_sha256": "1e16eba5b2c9594b355518db14e52e582c0d647adfcba0cea985774453e12216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.00727",
    "kind": "arxiv",
    "version": 1
  }
}