Pith Number

pith:7UINR7YK

pith:2016:7UINR7YKJ5AOPNEG4GVIWOE7VD

not attested not anchored not stored refs pending

On Optimal Geographical Caching in Heterogeneous Cellular Networks

Berksan Serbetci, Jasper Goseling

arxiv:1601.07322 v3 · 2016-01-27 · cs.IT · 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{7UINR7YKJ5AOPNEG4GVIWOE7VD}

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	2026-05-18T00:52:23.610990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd10d8ff0a4f40e7b486e1aa8b389fa8d1eafbd54ab60267d5068352c8527a68

Aliases

arxiv: 1601.07322 · arxiv_version: 1601.07322v3 · doi: 10.48550/arxiv.1601.07322 · pith_short_12: 7UINR7YKJ5AO · pith_short_16: 7UINR7YKJ5AOPNEG · pith_short_8: 7UINR7YK

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/7UINR7YKJ5AOPNEG4GVIWOE7VD \
  | 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: fd10d8ff0a4f40e7b486e1aa8b389fa8d1eafbd54ab60267d5068352c8527a68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c10c04345d0c133b0056c03333ff41304d9be241a49759d5d5030174601a232",
    "cross_cats_sorted": [
      "cs.NI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-01-27T10:46:33Z",
    "title_canon_sha256": "d1ce25581bc3684003febdbe95916834c657e911655cd8213e967bb94ef31ce6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07322",
    "kind": "arxiv",
    "version": 3
  }
}