Pith Number

pith:VIJQ2RG5

pith:2015:VIJQ2RG5WOEBNZQFFK6ZQSIQEG

not attested not anchored not stored refs pending

On the micro-to-macro limit for first-order traffic flow models on networks

Emiliano Cristiani, Smita Sahu

arxiv:1505.01372 v2 · 2015-05-06 · math.DS · 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{VIJQ2RG5WOEBNZQFFK6ZQSIQEG}

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	2026-05-18T01:03:31.122916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa130d44ddb38816e6052abd984910218346402f56346eb91437830170b6fb49

Aliases

arxiv: 1505.01372 · arxiv_version: 1505.01372v2 · doi: 10.48550/arxiv.1505.01372 · pith_short_12: VIJQ2RG5WOEB · pith_short_16: VIJQ2RG5WOEBNZQF · pith_short_8: VIJQ2RG5

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/VIJQ2RG5WOEBNZQFFK6ZQSIQEG \
  | 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: aa130d44ddb38816e6052abd984910218346402f56346eb91437830170b6fb49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10f7a895f56f53ae66e014a0a402dca6f616d6b82093516d9110b3b2d87d6437",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-05-06T14:06:31Z",
    "title_canon_sha256": "9f05c5d528b9f950098e06f2a8356103a75bada0099853615a28cc7e7850a150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01372",
    "kind": "arxiv",
    "version": 2
  }
}