Pith Number

pith:LOWE2BIP

pith:2026:LOWE2BIPABLE2FJGBG4FIAVYTW

not attested not anchored not stored refs pending

Bayesian Equilibria of Heterogeneous Non-Atomic Routing Games with Private Information

Alexia Ambrogio, Giacomo Como, Leonardo Cianfanelli, Paolo Frasca

arxiv:2606.05424 v1 · 2026-06-03 · 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{LOWE2BIPABLE2FJGBG4FIAVYTW}

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	2026-06-05T00:13:57.383127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bac4d050f00564d152609b85402b89da71fab83fa61d19c2b6c495084793abf

Aliases

arxiv: 2606.05424 · arxiv_version: 2606.05424v1 · doi: 10.48550/arxiv.2606.05424 · pith_short_12: LOWE2BIPABLE · pith_short_16: LOWE2BIPABLE2FJG · pith_short_8: LOWE2BIP

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/LOWE2BIPABLE2FJGBG4FIAVYTW \
  | 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: 5bac4d050f00564d152609b85402b89da71fab83fa61d19c2b6c495084793abf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afd0fc17253158f58aeae3b75bbd16233b70cbed9970e021907fbf7a312d7dea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-03T20:44:30Z",
    "title_canon_sha256": "4edc1125b6aefcd0b2037663f8b407850d10e083c61cc35ad92438024c388c7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05424",
    "kind": "arxiv",
    "version": 1
  }
}