Pith Number

pith:7DTVVF3X

pith:2013:7DTVVF3XTG2ULKZNJJT3EOQKZH

not attested not anchored not stored refs pending

Five Disruptive Technology Directions for 5G

Angel Lozano, Federico Boccardi, Petar Popovski, Robert W. Heath Jr., Thomas L. Marzetta

arxiv:1312.0229 v1 · 2013-12-01 · cs.NI · 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{7DTVVF3XTG2ULKZNJJT3EOQKZH}

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	2026-05-18T03:05:46.321380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8e75a977799b545ab2d4a67b23a0ac9f54d454cb3b528abe1894a1de77f9da5

Aliases

arxiv: 1312.0229 · arxiv_version: 1312.0229v1 · doi: 10.48550/arxiv.1312.0229 · pith_short_12: 7DTVVF3XTG2U · pith_short_16: 7DTVVF3XTG2ULKZN · pith_short_8: 7DTVVF3X

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/7DTVVF3XTG2ULKZNJJT3EOQKZH \
  | 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: f8e75a977799b545ab2d4a67b23a0ac9f54d454cb3b528abe1894a1de77f9da5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f44a999396207e3872038c9faa59a86a68a31a2377976b3b197ae715494c2ef0",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2013-12-01T14:55:07Z",
    "title_canon_sha256": "c0dcff64dcdb4db482796b76ff2796d4e05ad741de28ad46252f5b89e0215140"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0229",
    "kind": "arxiv",
    "version": 1
  }
}