Pith Number

pith:YUESCI3H

pith:2017:YUESCI3HUS45AQY3LTOAOO53GS

not attested not anchored not stored refs pending

On the Braess Paradox with Nonlinear Dynamics and Control Theory

Helge Holden, Rinaldo M. Colombo

arxiv:1703.09803 v1 · 2017-03-27 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YUESCI3HUS45AQY3LTOAOO53GS}

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	2026-05-18T00:47:39.426129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c509212367a4b9d0431b5cdc073bbb34aa5b73cc0778eb7fed8a1997ea866afa

Aliases

arxiv: 1703.09803 · arxiv_version: 1703.09803v1 · doi: 10.48550/arxiv.1703.09803 · pith_short_12: YUESCI3HUS45 · pith_short_16: YUESCI3HUS45AQY3 · pith_short_8: YUESCI3H

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/YUESCI3HUS45AQY3LTOAOO53GS \
  | 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: c509212367a4b9d0431b5cdc073bbb34aa5b73cc0778eb7fed8a1997ea866afa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e04176a96dfc2b071fdfbef5448f540a1a00c09c665ae9397a617f9881aeabb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-27T09:29:45Z",
    "title_canon_sha256": "08e715afa23947a7361c31af75b04134cc834e40c693f02d1cb1cad3b0fc61c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09803",
    "kind": "arxiv",
    "version": 1
  }
}