Pith Number

pith:DL32HHFV

pith:2013:DL32HHFV6GCLQN57NAFVEWQVGP

not attested not anchored not stored refs pending

A Mass Transportation Model for the Optimal Planning of an Urban Region

Filippo Santambrogio, Giuseppe Buttazzo

arxiv:1312.6508 v1 · 2013-12-23 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DL32HHFV6GCLQN57NAFVEWQVGP}

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	2026-05-18T03:03:58.071262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1af7a39cb5f184b837bf680b525a1533de9cbae3d3e47d0adefda904bf89512a

Aliases

arxiv: 1312.6508 · arxiv_version: 1312.6508v1 · doi: 10.48550/arxiv.1312.6508 · pith_short_12: DL32HHFV6GCL · pith_short_16: DL32HHFV6GCLQN57 · pith_short_8: DL32HHFV

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/DL32HHFV6GCLQN57NAFVEWQVGP \
  | 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: 1af7a39cb5f184b837bf680b525a1533de9cbae3d3e47d0adefda904bf89512a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4b5fb9b8ec37466f59bd4952d0e098a7242585addc1eaa5b7ac261d33a2b0a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-12-23T10:17:51Z",
    "title_canon_sha256": "8a15963428733a92fb247f43f8d612a93cb82a09e1ef6dc9e47ee5967e4921ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6508",
    "kind": "arxiv",
    "version": 1
  }
}