Pith Number

pith:H4DN2J5P

pith:2017:H4DN2J5PD2PDOAZBJZL4FYHW7F

not attested not anchored not stored refs pending

Joint Pushing and Caching for Bandwidth Utilization Maximization in Wireless Networks

Hui Liu, Yaping Sun, Ying Cui

arxiv:1702.01840 v2 · 2017-02-07 · 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{H4DN2J5PD2PDOAZBJZL4FYHW7F}

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	2026-05-18T00:41:17.938026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f06dd27af1e9e3703214e57c2e0f6f9543b26d52879ae6757aba2907af687b8

Aliases

arxiv: 1702.01840 · arxiv_version: 1702.01840v2 · doi: 10.48550/arxiv.1702.01840 · pith_short_12: H4DN2J5PD2PD · pith_short_16: H4DN2J5PD2PDOAZB · pith_short_8: H4DN2J5P

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/H4DN2J5PD2PDOAZBJZL4FYHW7F \
  | 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: 3f06dd27af1e9e3703214e57c2e0f6f9543b26d52879ae6757aba2907af687b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8014422cb6d027c43de814dae7a1eef48bb0d3a80977a5cf0afe213191d91aa7",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-02-07T01:37:58Z",
    "title_canon_sha256": "c0750bb3530cd56312c07ff1f47cf39c1e872d4be2f43651d4720b6d1de4aaed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01840",
    "kind": "arxiv",
    "version": 2
  }
}