Pith Number

pith:PNJPZYGO

pith:2012:PNJPZYGOZXQ4ZFBLVCKBD7FVSO

not attested not anchored not stored refs pending

A robust optimization approach for dynamic traffic signal control with emission considerations

Hongcheng Liu, Ke Han, Tao Yao, Terry L. Friesz, Vikash Gayah

arxiv:1211.4865 v3 · 2012-11-19 · 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{PNJPZYGOZXQ4ZFBLVCKBD7FVSO}

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	2026-05-18T01:18:23.735554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b52fce0cecde1cc942ba89411fcb593a0da3164b0a3bb79b0be932d5e03368b

Aliases

arxiv: 1211.4865 · arxiv_version: 1211.4865v3 · doi: 10.48550/arxiv.1211.4865 · pith_short_12: PNJPZYGOZXQ4 · pith_short_16: PNJPZYGOZXQ4ZFBL · pith_short_8: PNJPZYGO

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/PNJPZYGOZXQ4ZFBLVCKBD7FVSO \
  | 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: 7b52fce0cecde1cc942ba89411fcb593a0da3164b0a3bb79b0be932d5e03368b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40bddc8ed1d0478876711092fd407cd436c12339d60685d7c7aac88e1195dee8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-11-19T23:37:07Z",
    "title_canon_sha256": "f07400233bee1ae2a26ad12e9d4739421aa936a5adc6427ad6c14ee207e3bfdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4865",
    "kind": "arxiv",
    "version": 3
  }
}