Pith Number

pith:2FF6VINO

pith:2026:2FF6VINOIAMNMNJ7P25JZNTIQS

not attested not anchored not stored refs pending

On Mean-field Singular Stochastic Control Problems

Andrea Amato, Federico Cannerozzi, Giorgio Ferrari

arxiv:2607.26808 v1 · 2026-07-29 · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2FF6VINOIAMNMNJ7P25JZNTIQS}

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	2026-07-30T01:22:23.747129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

d14beaa1ae4018d6353f7eba9cb668849b22cd06c3d037928fc5d1d8fc0329f9

Aliases

arxiv: 2607.26808 · arxiv_version: 2607.26808v1 · doi: 10.48550/arxiv.2607.26808 · pith_short_12: 2FF6VINOIAMN · pith_short_16: 2FF6VINOIAMNMNJ7 · pith_short_8: 2FF6VINO

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/2FF6VINOIAMNMNJ7P25JZNTIQS \
  | 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: d14beaa1ae4018d6353f7eba9cb668849b22cd06c3d037928fc5d1d8fc0329f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a506086b2a23ba72cd76d0b4bd58d8bd24885f90a871aaa77e3dae12aaa20871",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-29T11:48:54Z",
    "title_canon_sha256": "e71a7f6410098c7c323596fefc0d729e7732f1a695952480bb70306617761ab7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26808",
    "kind": "arxiv",
    "version": 1
  }
}