Pith Number

pith:N64ME4TC

pith:2026:N64ME4TCY7GOZ2XFBMP6Y3SI4Q

not attested not anchored not stored refs pending

The petrol station game: the regional average price. A mean field analysis

Fabio Bagagiolo, Federico Pontiroli, Ivan Roman\`o

arxiv:2605.24241 v1 · 2026-05-22 · 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{N64ME4TCY7GOZ2XFBMP6Y3SI4Q}

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	2026-05-26T01:02:54.365862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fb8c27262c7cceceae50b1fec6e48e41b51a7e5f92fc46743acd5212c5cb3e9

Aliases

arxiv: 2605.24241 · arxiv_version: 2605.24241v1 · doi: 10.48550/arxiv.2605.24241 · pith_short_12: N64ME4TCY7GO · pith_short_16: N64ME4TCY7GOZ2XF · pith_short_8: N64ME4TC

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/N64ME4TCY7GOZ2XFBMP6Y3SI4Q \
  | 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: 6fb8c27262c7cceceae50b1fec6e48e41b51a7e5f92fc46743acd5212c5cb3e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ee6e0064437f30854b795e0be297a4497d37768c240dfc58de4119e2e66185b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-22T21:33:44Z",
    "title_canon_sha256": "c9bdc1e4115b9e09a159b3a7b61821299a189216b64fd1a1857e284fe519d947"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24241",
    "kind": "arxiv",
    "version": 1
  }
}