Pith Number

pith:VVF2E2QC

pith:2019:VVF2E2QCJCUCSQNFC3MMPHFAIP

not attested not anchored not stored refs pending

Spatial Strength Centrality and the Effect of Spatial Embeddings on Network Architecture

Andrew Liu, Mason A. Porter

arxiv:1910.01174 v2 · 2019-10-02 · physics.soc-ph · cond-mat.stat-mech · cs.SI · math.CO · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVF2E2QCJCUCSQNFC3MMPHFAIP}

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	2026-07-05T01:15:07.065205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad4ba26a0248a82941a516d8c79ca043ee3592ad79d2b0ab684595bb53030fb1

Aliases

arxiv: 1910.01174 · arxiv_version: 1910.01174v2 · doi: 10.48550/arxiv.1910.01174 · pith_short_12: VVF2E2QCJCUC · pith_short_16: VVF2E2QCJCUCSQNF · pith_short_8: VVF2E2QC

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/VVF2E2QCJCUCSQNFC3MMPHFAIP \
  | 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: ad4ba26a0248a82941a516d8c79ca043ee3592ad79d2b0ab684595bb53030fb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "531f07be850e8344d29f4bf46fe62faa9734d17e63d4faab4154745429c15c0d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.SI",
      "math.CO",
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2019-10-02T19:19:19Z",
    "title_canon_sha256": "55bd24ef8dcefc3572b5d5fee4160c803c6d855e3fdd70f82f54e8aba45f2a8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.01174",
    "kind": "arxiv",
    "version": 2
  }
}