Pith Number

pith:F2LE5I6H

pith:2021:F2LE5I6HSB2N3FGNTR2AHN3R53

not attested not anchored not stored refs pending

The Pollution-Routing Problem with Speed Optimization and Uneven Topography

Alexandre Florio, David Lai, Emrah Demir, Tom Van Woensel, Yasel Costa

arxiv:2105.09229 v1 · 2021-05-19 · 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{F2LE5I6HSB2N3FGNTR2AHN3R53}

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	2026-07-05T02:41:39.232442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e964ea3c79074dd94cd9c7403b771eeee820ce9488621857d3f8a1c684d807b

Aliases

arxiv: 2105.09229 · arxiv_version: 2105.09229v1 · doi: 10.48550/arxiv.2105.09229 · pith_short_12: F2LE5I6HSB2N · pith_short_16: F2LE5I6HSB2N3FGN · pith_short_8: F2LE5I6H

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/F2LE5I6HSB2N3FGNTR2AHN3R53 \
  | 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: 2e964ea3c79074dd94cd9c7403b771eeee820ce9488621857d3f8a1c684d807b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d2dec7e96fa3579a94ff25ceb8322dc054846fe044477bda018fdebb79536f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-05-19T16:24:19Z",
    "title_canon_sha256": "d6bafa89dea7ccac2cc9abec172fc8f72886e7367868595f9c6b86a20f152383"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.09229",
    "kind": "arxiv",
    "version": 1
  }
}