Pith Number

pith:ZZH2QWVC

pith:2018:ZZH2QWVC3X3PNCW2GFUDHT5DCQ

not attested not anchored not stored refs pending

Stability and optimality of multi-scale transportation networks with distributed dynamic tolls

Giacomo Como, Rosario Maggistro

arxiv:1803.07959 v3 · 2018-03-21 · 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{ZZH2QWVC3X3PNCW2GFUDHT5DCQ}

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	2026-05-17T23:55:21.110764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce4fa85aa2ddf6f68ada316833cfa3140e795377be6260b30d9d6a0bfd49cf32

Aliases

arxiv: 1803.07959 · arxiv_version: 1803.07959v3 · doi: 10.48550/arxiv.1803.07959 · pith_short_12: ZZH2QWVC3X3P · pith_short_16: ZZH2QWVC3X3PNCW2 · pith_short_8: ZZH2QWVC

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/ZZH2QWVC3X3PNCW2GFUDHT5DCQ \
  | 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: ce4fa85aa2ddf6f68ada316833cfa3140e795377be6260b30d9d6a0bfd49cf32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21b13c733162eba99acd9ef31197cd401d2750da60af89791425a6ca84274f8e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-03-21T15:13:40Z",
    "title_canon_sha256": "68d325fa3271b8c2105deb272992631c31ebaca7c68c95a6f4713d8b4980ee5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07959",
    "kind": "arxiv",
    "version": 3
  }
}