Pith Number

pith:5KIVOULC

pith:2020:5KIVOULCBQ24DGLLQ44WVWKJTZ

not attested not anchored not stored refs pending

Traffic Equations for Fluid Networks with Overflows

E. Lefeber, H. M. Jansen, S. Fleuren, Y. Nazarathy

arxiv:2001.09611 v2 · 2020-01-27 · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5KIVOULCBQ24DGLLQ44WVWKJTZ}

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	2026-07-05T01:58:29.568030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea915751620c35c1996b87396ad9499e5a7f337b9a80490cf0ecb41a652a0305

Aliases

arxiv: 2001.09611 · arxiv_version: 2001.09611v2 · doi: 10.48550/arxiv.2001.09611 · pith_short_12: 5KIVOULCBQ24 · pith_short_16: 5KIVOULCBQ24DGLL · pith_short_8: 5KIVOULC

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/5KIVOULCBQ24DGLLQ44WVWKJTZ \
  | 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: ea915751620c35c1996b87396ad9499e5a7f337b9a80490cf0ecb41a652a0305

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b180a386fa76822b6de563f66cf7925b1053acac325d4aebbd48dae7bdfc1f9f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-01-27T07:37:33Z",
    "title_canon_sha256": "885d06fadcb97ef4ea9756441ab9e6d3a2fba04080ac11344c94aad822ea7054"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.09611",
    "kind": "arxiv",
    "version": 2
  }
}