Pith Number

pith:LDIRN6V2

pith:2016:LDIRN6V2GMMYLEAYVGZO7UQCY5

not attested not anchored not stored refs pending

Mean field games of timing and models for bank runs

Daniel Lacker, Francois Delarue, Rene Carmona

arxiv:1606.03709 v3 · 2016-06-12 · math.PR · q-fin.EC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LDIRN6V2GMMYLEAYVGZO7UQCY5}

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	2026-05-18T00:52:23.238709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58d116faba3319859018a9b2efd202c75763d68421a2d8cd619fc79c54fe20f1

Aliases

arxiv: 1606.03709 · arxiv_version: 1606.03709v3 · doi: 10.48550/arxiv.1606.03709 · pith_short_12: LDIRN6V2GMMY · pith_short_16: LDIRN6V2GMMYLEAY · pith_short_8: LDIRN6V2

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/LDIRN6V2GMMYLEAYVGZO7UQCY5 \
  | 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: 58d116faba3319859018a9b2efd202c75763d68421a2d8cd619fc79c54fe20f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06c8254b9c2dc16ab834dac8aa8217e276d70272e0c8e1dc34d25e51c884ec27",
    "cross_cats_sorted": [
      "q-fin.EC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-12T13:22:28Z",
    "title_canon_sha256": "108b3b2285edbdaa9e31ee175e353f29a3b9bcf894088cb2c4dcb671dfb238b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03709",
    "kind": "arxiv",
    "version": 3
  }
}