Pith Number

pith:D4EA2Z3L

pith:2016:D4EA2Z3LAPWR5IVEZ4RIFGLYYW

not attested not anchored not stored refs pending

A Hybrid Network/Grid Model of Urban Morphogenesis and Optimization

Arnaud Banos, Juste Raimbault, Ren\'e Doursat

arxiv:1612.08552 v1 · 2016-12-27 · cs.MA · 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{D4EA2Z3LAPWR5IVEZ4RIFGLYYW}

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	2026-05-18T00:53:52.684515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f080d676b03ed1ea2a4cf22829978c5abb41c04b724380a2da19275a3df6b82

Aliases

arxiv: 1612.08552 · arxiv_version: 1612.08552v1 · doi: 10.48550/arxiv.1612.08552 · pith_short_12: D4EA2Z3LAPWR · pith_short_16: D4EA2Z3LAPWR5IVE · pith_short_8: D4EA2Z3L

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/D4EA2Z3LAPWR5IVEZ4RIFGLYYW \
  | 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: 1f080d676b03ed1ea2a4cf22829978c5abb41c04b724380a2da19275a3df6b82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2e38994ff6b0056122454a823b9f5da6b9fd40c411336dfd97bfc54836101a3",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MA",
    "submitted_at": "2016-12-27T09:37:56Z",
    "title_canon_sha256": "d403f404fe480d65477ba50e680e37aa0ed5249217bb86683905dc33a2e0210b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08552",
    "kind": "arxiv",
    "version": 1
  }
}