Pith Number

pith:GRSKVQJM

pith:2025:GRSKVQJMJM5AYXZMZM664FPMS2

not attested not anchored not stored refs pending

Existence of Strong Randomized Equilibria in Mean-Field Games of Optimal Stopping with Common Noise

Anna Pajola, Giorgio Ferrari

arxiv:2507.19123 v1 · 2025-07-25 · math.OC · math.PR · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRSKVQJMJM5AYXZMZM664FPMS2}

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	2026-07-05T11:43:19.869160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3464aac12c4b3a0c5f2ccb3dee15ec96b077bf06301f783e1ba62dfb711c5962

Aliases

arxiv: 2507.19123 · arxiv_version: 2507.19123v1 · doi: 10.48550/arxiv.2507.19123 · pith_short_12: GRSKVQJMJM5A · pith_short_16: GRSKVQJMJM5AYXZM · pith_short_8: GRSKVQJM

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/GRSKVQJMJM5AYXZMZM664FPMS2 \
  | 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: 3464aac12c4b3a0c5f2ccb3dee15ec96b077bf06301f783e1ba62dfb711c5962

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9acc332a282a0f8d6148330ccd5bd7045dfb26ce60f516ae767052b39bb0d0a2",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-25T10:03:01Z",
    "title_canon_sha256": "1fdcd89a9a2e7de244293ef32f5249692bb0abc92387450a2c2cd539240555f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.19123",
    "kind": "arxiv",
    "version": 1
  }
}