Pith Number

pith:ONWWYCP7

pith:2009:ONWWYCP76BDSAO5YIVEFBSWN4W

not attested not anchored not stored refs pending

Urban Gravity: a Model for Intercity Telecommunication Flows

C. Ratti, F. Calabrese, G. Krings, V.D. Blondel

arxiv:0905.0692 v2 · 2009-05-05 · 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{ONWWYCP76BDSAO5YIVEFBSWN4W}

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	2026-05-18T02:13:47.364010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

736d6c09fff047203bb8454850cacde59bee248badd33b35d48cfaafcf3853d9

Aliases

arxiv: 0905.0692 · arxiv_version: 0905.0692v2 · doi: 10.48550/arxiv.0905.0692 · pith_short_12: ONWWYCP76BDS · pith_short_16: ONWWYCP76BDSAO5Y · pith_short_8: ONWWYCP7

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/ONWWYCP76BDSAO5YIVEFBSWN4W \
  | 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: 736d6c09fff047203bb8454850cacde59bee248badd33b35d48cfaafcf3853d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fdce51f9e7776af80e35ba743183d4cd713345ff366d123d95c1fddbb00fb04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2009-05-05T21:37:00Z",
    "title_canon_sha256": "82490fe12cffed13103948111ec9f56558f59e556e421c789a4025524442170a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0692",
    "kind": "arxiv",
    "version": 2
  }
}