Pith Number

pith:SPFJAIIM

pith:2025:SPFJAIIMGOBZJ2VOUBPYKB3JVJ

not attested not anchored not stored refs pending

The Trade-Off between Directness and Coverage in Transport Network Growth

Anastassia Vybornova, Ane Rahbek Vier{\o}, Cl\'ement Sebastiao, Luca Maria Aiello, Michael Szell

arxiv:2507.13005 v1 · 2025-07-17 · 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{SPFJAIIMGOBZJ2VOUBPYKB3JVJ}

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	2026-07-05T11:38:43.246878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93ca90210c338394eaaea05f850769aa773e02065faf102a5b37e72d978c4b93

Aliases

arxiv: 2507.13005 · arxiv_version: 2507.13005v1 · doi: 10.48550/arxiv.2507.13005 · pith_short_12: SPFJAIIMGOBZ · pith_short_16: SPFJAIIMGOBZJ2VO · pith_short_8: SPFJAIIM

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/SPFJAIIMGOBZJ2VOUBPYKB3JVJ \
  | 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: 93ca90210c338394eaaea05f850769aa773e02065faf102a5b37e72d978c4b93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c21b01f1b0a621a2065c504709b0d253e27c9392808ca334907c8c666c020499",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2025-07-17T11:24:20Z",
    "title_canon_sha256": "e2fa8e390d0c4cad22c6eeac2885f1f97508cf2495c18e738b4f189285dfb60e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13005",
    "kind": "arxiv",
    "version": 1
  }
}