Pith Number

pith:JFHBNMHN

pith:2015:JFHBNMHNQNXBSEU3XQMSMWR25Q

not attested not anchored not stored refs pending

'Phase diagram' of a mean field game

Denis Ullmo, Igor Swiecicki, Thierry Gobron

arxiv:1503.01591 v1 · 2015-03-05 · 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{JFHBNMHNQNXBSEU3XQMSMWR25Q}

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	2026-05-18T01:29:02.954731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

494e16b0ed836e19129bbc19265a3aec0051b4da1dd07aafbae6472fa05c1205

Aliases

arxiv: 1503.01591 · arxiv_version: 1503.01591v1 · doi: 10.48550/arxiv.1503.01591 · pith_short_12: JFHBNMHNQNXB · pith_short_16: JFHBNMHNQNXBSEU3 · pith_short_8: JFHBNMHN

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/JFHBNMHNQNXBSEU3XQMSMWR25Q \
  | 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: 494e16b0ed836e19129bbc19265a3aec0051b4da1dd07aafbae6472fa05c1205

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4bb30ed08188c28580f7052ca94d338ec4d0ae5d7317888507b09c5442775f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-03-05T09:56:42Z",
    "title_canon_sha256": "fb60ae697375b392250dbba6c6178d57346677254ed979a8973a9ee8e2fafccb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01591",
    "kind": "arxiv",
    "version": 1
  }
}