Pith Number

pith:GSBI42RH

pith:2017:GSBI42RHG5DSOAEDSALQ5E7OCJ

not attested not anchored not stored refs pending

On the Asymptotic Behavior of Ultra-Densification under a Bounded Dual-Slope Path Loss Model

Jihong Park, Ki Won Sung, Yanpeng Yang

arxiv:1701.04065 v2 · 2017-01-15 · 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{GSBI42RHG5DSOAEDSALQ5E7OCJ}

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	2026-05-18T00:46:48.538428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34828e6a27374727008390170e93ee126d1f68236580bf03a51c66efabafe345

Aliases

arxiv: 1701.04065 · arxiv_version: 1701.04065v2 · doi: 10.48550/arxiv.1701.04065 · pith_short_12: GSBI42RHG5DS · pith_short_16: GSBI42RHG5DSOAED · pith_short_8: GSBI42RH

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/GSBI42RHG5DSOAEDSALQ5E7OCJ \
  | 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: 34828e6a27374727008390170e93ee126d1f68236580bf03a51c66efabafe345

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd146de1b1ecdbdc9074555131ce5d9f36a74ebc055433a320828c05e16add70",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2017-01-15T16:08:40Z",
    "title_canon_sha256": "33dbabfc6e9d38aca2cf910c1d47238bdcd96ab05ad786bb0f7ed8ad3d12d855"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04065",
    "kind": "arxiv",
    "version": 2
  }
}