Pith Number

pith:2UWUGPA7

pith:2020:2UWUGPA7KGFXQ3YR73BC3SGAW6

not attested not anchored not stored refs pending

Age of Information in Ultra-Dense IoT Systems: Performance and Mean-Field Game Analysis

Bo Zhou, Walid Saad

arxiv:2006.15756 v4 · 2020-06-29 · 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{2UWUGPA7KGFXQ3YR73BC3SGAW6}

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	2026-07-05T06:26:37.241344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d52d433c1f518b786f11fec22dc8c0b7b95adc23d41e71beb8d235fad3fea12f

Aliases

arxiv: 2006.15756 · arxiv_version: 2006.15756v4 · doi: 10.48550/arxiv.2006.15756 · pith_short_12: 2UWUGPA7KGFX · pith_short_16: 2UWUGPA7KGFXQ3YR · pith_short_8: 2UWUGPA7

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/2UWUGPA7KGFXQ3YR73BC3SGAW6 \
  | 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: d52d433c1f518b786f11fec22dc8c0b7b95adc23d41e71beb8d235fad3fea12f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f691c052e6ef401bb6a614e303e280e25f504faa9508e96047609ba02ff1411",
    "cross_cats_sorted": [
      "cs.NI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2020-06-29T00:37:18Z",
    "title_canon_sha256": "eb07b7c97e16f463d5ca6de164879f3e6f9694d33222a5fb76d24de23693ecb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.15756",
    "kind": "arxiv",
    "version": 4
  }
}