Pith Number

pith:WCCHQGLQ

pith:2015:WCCHQGLQM5UBV2WBI3WS4JAUWO

not attested not anchored not stored refs pending

Bellman equation and viscosity solutions for mean-field stochastic control problem

CREST), Huy\^en Pham (LPMA, Xiaoli Wei (LPMA)

arxiv:1512.07866 v3 · 2015-12-24 · math.PR · 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{WCCHQGLQM5UBV2WBI3WS4JAUWO}

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	2026-05-18T00:49:06.919976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b08478197067681aeac146ed2e2414b39e0152ef019a5d7e3b5335e325fb08b4

Aliases

arxiv: 1512.07866 · arxiv_version: 1512.07866v3 · doi: 10.48550/arxiv.1512.07866 · pith_short_12: WCCHQGLQM5UB · pith_short_16: WCCHQGLQM5UBV2WB · pith_short_8: WCCHQGLQ

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/WCCHQGLQM5UBV2WBI3WS4JAUWO \
  | 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: b08478197067681aeac146ed2e2414b39e0152ef019a5d7e3b5335e325fb08b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d393eb00dd391fd36b996394926cf72a54d6a9a7a8a7bc84fda16053fcfe003",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-24T17:18:30Z",
    "title_canon_sha256": "bc95fbeb6cd11a05778844e4e58db49a19f489ad090de7ba0b6636e66917c402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07866",
    "kind": "arxiv",
    "version": 3
  }
}