Pith Number

pith:64YVEKJE

pith:2016:64YVEKJEVDQNBNVQVRFTG3TQAT

not attested not anchored not stored refs pending

Cell Associations that Maximize the Average Uplink-Downlink Degrees of Freedom

Aly El Gamal

arxiv:1605.04346 v1 · 2016-05-13 · 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{64YVEKJEVDQNBNVQVRFTG3TQAT}

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	2026-05-18T01:14:51.984289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f731522924a8e0d0b6b0ac4b336e7004efe44cda44df3ab03b9bf872abdbc35c

Aliases

arxiv: 1605.04346 · arxiv_version: 1605.04346v1 · doi: 10.48550/arxiv.1605.04346 · pith_short_12: 64YVEKJEVDQN · pith_short_16: 64YVEKJEVDQNBNVQ · pith_short_8: 64YVEKJE

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/64YVEKJEVDQNBNVQVRFTG3TQAT \
  | 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: f731522924a8e0d0b6b0ac4b336e7004efe44cda44df3ab03b9bf872abdbc35c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f1f2d7b77212b34ad1753d91fe7198b214d1f0e951d125e70936f49a1ef8943",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-05-13T22:40:01Z",
    "title_canon_sha256": "9c1fae1d6244f663aa7b03ab0b066007ba77515995a504f2515550d15bdb4aae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04346",
    "kind": "arxiv",
    "version": 1
  }
}