Pith Number

pith:Q7NAYELK

pith:2020:Q7NAYELKJZ35CYGVPMQAPKQKX7

not attested not anchored not stored refs pending

Mathematical model of LoRaWAN channel access

Andrey Lyakhov, Dmitry Bankov, Evgeny Khorov

arxiv:2004.07645 v1 · 2020-04-16 · 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{Q7NAYELKJZ35CYGVPMQAPKQKX7}

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	2026-07-05T00:55:35.306610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87da0c116a4e77d160d57b2007aa0abff70aef47ebcb5b3efe2f5993f19450fe

Aliases

arxiv: 2004.07645 · arxiv_version: 2004.07645v1 · doi: 10.48550/arxiv.2004.07645 · pith_short_12: Q7NAYELKJZ35 · pith_short_16: Q7NAYELKJZ35CYGV · pith_short_8: Q7NAYELK

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/Q7NAYELKJZ35CYGVPMQAPKQKX7 \
  | 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: 87da0c116a4e77d160d57b2007aa0abff70aef47ebcb5b3efe2f5993f19450fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37cf8d861128bfc6972915e82c9ad810deafa69283b2907d91e9f9ac81cdfcfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2020-04-16T13:28:20Z",
    "title_canon_sha256": "e5b527389803a91e7bb6defdb5c98ba88443bf2c97868ec4411953da2792fc24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.07645",
    "kind": "arxiv",
    "version": 1
  }
}