Pith Number

pith:Z7ABRMLR

pith:2015:Z7ABRMLRTNSXXNS7VXHCCUZKJZ

not attested not anchored not stored refs pending

Analysis and Optimization of Caching and Multicasting in Large-Scale Cache-Enabled Wireless Networks

Dongdong Jiang, Ying Cui, Yueping Wu

arxiv:1512.06176 v2 · 2015-12-19 · 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{Z7ABRMLRTNSXXNS7VXHCCUZKJZ}

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	2026-05-18T01:20:24.021272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfc018b1719b657bb65fadce21532a4e76df8002bfcedda003097c33815aeffa

Aliases

arxiv: 1512.06176 · arxiv_version: 1512.06176v2 · doi: 10.48550/arxiv.1512.06176 · pith_short_12: Z7ABRMLRTNSX · pith_short_16: Z7ABRMLRTNSXXNS7 · pith_short_8: Z7ABRMLR

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/Z7ABRMLRTNSXXNS7VXHCCUZKJZ \
  | 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: cfc018b1719b657bb65fadce21532a4e76df8002bfcedda003097c33815aeffa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aa33765a1ddd01358498ef2a84bfb1defd4a64ffd4fb4cff8e86d6f0bedf367",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-12-19T01:57:35Z",
    "title_canon_sha256": "eb689b618b4c245fe23ac801e27f78bba439a8dd16fb3fbeef1a7f8e530e0b0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06176",
    "kind": "arxiv",
    "version": 2
  }
}