Pith Number

pith:TPMZRPGK

pith:2018:TPMZRPGK64OJLQMNTUV36GJ53H

not attested not anchored not stored refs pending

Machine Learning for Heterogeneous Ultra-Dense Networks with Graphical Representations

Congmin Fan, Xiaojun Yuan, Ying-Jun Angela Zhang

arxiv:1808.04547 v1 · 2018-08-14 · 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{TPMZRPGK64OJLQMNTUV36GJ53H}

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	2026-05-18T00:08:12.203235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bd998bccaf71c95c18d9d2bbf193dd9da9e20fcd9ebecfdd82ba3d61e18a071

Aliases

arxiv: 1808.04547 · arxiv_version: 1808.04547v1 · doi: 10.48550/arxiv.1808.04547 · pith_short_12: TPMZRPGK64OJ · pith_short_16: TPMZRPGK64OJLQMN · pith_short_8: TPMZRPGK

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/TPMZRPGK64OJLQMNTUV36GJ53H \
  | 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: 9bd998bccaf71c95c18d9d2bbf193dd9da9e20fcd9ebecfdd82ba3d61e18a071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8366ef3774091765f2cec953b924941132a27fdb554867ba41622d7eb43bbd2f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-08-14T06:28:10Z",
    "title_canon_sha256": "1967bc2d4bc3a0f4073edbd36735bb4243c2614067b3c2590bfd9d18bca2e9c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04547",
    "kind": "arxiv",
    "version": 1
  }
}