Pith Number

pith:2HYEBPHD

pith:2016:2HYEBPHD2RH2MEUQH3GPIYNMXA

not attested not anchored not stored refs pending

Pricing and Resource Allocation via Game Theory for a Small-Cell Video Caching System

Branka Vucetic, He Chen, Jun Li, Lajos Hanzo, Youjia Chen, Zihuai Lin

arxiv:1602.06063 v1 · 2016-02-19 · cs.IT · cs.GT · cs.NI · 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{2HYEBPHD2RH2MEUQH3GPIYNMXA}

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	2026-05-18T00:58:34.053223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1f040bce3d44fa612903eccf461acb80c3f9ee4b008196ac62079f10af1dda8

Aliases

arxiv: 1602.06063 · arxiv_version: 1602.06063v1 · doi: 10.48550/arxiv.1602.06063 · pith_short_12: 2HYEBPHD2RH2 · pith_short_16: 2HYEBPHD2RH2MEUQ · pith_short_8: 2HYEBPHD

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/2HYEBPHD2RH2MEUQH3GPIYNMXA \
  | 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: d1f040bce3d44fa612903eccf461acb80c3f9ee4b008196ac62079f10af1dda8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62b6911138d78d30c5385d2c1cd62aaea0d87aaf5378ae19e5a76ef6d8eee2bb",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.NI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-02-19T07:22:42Z",
    "title_canon_sha256": "fc63f4bbf8568e6cc73cfdcf72f83ab15c8ca278de05c9a7540e366fd8e1bff8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06063",
    "kind": "arxiv",
    "version": 1
  }
}