Pith Number

pith:WFIDIHAE

pith:2018:WFIDIHAEHSH5SCHJFZZPGVTVAP

not attested not anchored not stored refs pending

Characterization and space embedding of directed graphs and social networks through magnetic Laplacians

Bruno Messias, Luciano da F. Costa

arxiv:1812.02160 v2 · 2018-12-05 · cs.SI · cs.DS · physics.soc-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFIDIHAEHSH5SCHJFZZPGVTVAP}

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	2026-05-17T23:58:47.069351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b150341c043c8fd908e92e72f3567503e9bb3190bd7d8395e7f1e4541934dd64

Aliases

arxiv: 1812.02160 · arxiv_version: 1812.02160v2 · doi: 10.48550/arxiv.1812.02160 · pith_short_12: WFIDIHAEHSH5 · pith_short_16: WFIDIHAEHSH5SCHJ · pith_short_8: WFIDIHAE

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/WFIDIHAEHSH5SCHJFZZPGVTVAP \
  | 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: b150341c043c8fd908e92e72f3567503e9bb3190bd7d8395e7f1e4541934dd64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a20d29184db2c367fefcdcc1debe7572829e500df2a42df2a39ac5c37db64962",
    "cross_cats_sorted": [
      "cs.DS",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2018-12-05T18:55:09Z",
    "title_canon_sha256": "b76592dc199ca8e2fd746674b3b563b5fe1f130ef17f1f0e7d92941acca08934"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02160",
    "kind": "arxiv",
    "version": 2
  }
}