Pith Number

pith:2VV3I5VK

pith:2015:2VV3I5VKLQIXD4XO4GEGD46XR3

not attested not anchored not stored refs pending

A Sharing- and Competition-Aware Framework for Cellular Network Evolution Planning

Francesco Malandrino, Luiz A. DaSilva, Paolo Di Francesco, Tim K. Forde

arxiv:1504.03213 v1 · 2015-04-13 · cs.NI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2VV3I5VKLQIXD4XO4GEGD46XR3}

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	2026-05-18T02:18:58.908031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d56bb476aa5c1171f2eee18861f3d78edaf7cdebe64d0d37fd7e674005b5fb62

Aliases

arxiv: 1504.03213 · arxiv_version: 1504.03213v1 · doi: 10.48550/arxiv.1504.03213 · pith_short_12: 2VV3I5VKLQIX · pith_short_16: 2VV3I5VKLQIXD4XO · pith_short_8: 2VV3I5VK

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/2VV3I5VKLQIXD4XO4GEGD46XR3 \
  | 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: d56bb476aa5c1171f2eee18861f3d78edaf7cdebe64d0d37fd7e674005b5fb62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56fcce818da5c18de5da83736e6cb5cbe252190bcd09c8e36e5a65796f3707a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2015-04-13T15:19:48Z",
    "title_canon_sha256": "37d060210969fbbec1efcc4650159e272da27c9e93a1114706a342a77f66e0f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03213",
    "kind": "arxiv",
    "version": 1
  }
}