Pith Number

pith:MIHOIK35

pith:2013:MIHOIK35VXTZTMCGTNL34Q56WQ

not attested not anchored not stored refs pending

A general maximum principle for mean-field stochastic differential equations with jump processes

Mokhtar Hafayed, Syed Abbas

arxiv:1301.7327 v4 · 2013-01-30 · 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{MIHOIK35VXTZTMCGTNL34Q56WQ}

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	2026-05-18T03:32:31.109738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

620ee42b7dade799b0469b57be43beb41236ab1deb472da4df2df68766d24050

Aliases

arxiv: 1301.7327 · arxiv_version: 1301.7327v4 · doi: 10.48550/arxiv.1301.7327 · pith_short_12: MIHOIK35VXTZ · pith_short_16: MIHOIK35VXTZTMCG · pith_short_8: MIHOIK35

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/MIHOIK35VXTZTMCGTNL34Q56WQ \
  | 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: 620ee42b7dade799b0469b57be43beb41236ab1deb472da4df2df68766d24050

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "657e76fece9cc9bf962a62efece07f7f79e8928f5df4bd593b5fce839c01b68e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-01-30T19:08:39Z",
    "title_canon_sha256": "ece4d07d5d57e2a75f1ee5e60f74d7505014ed7d168ac01c125ef47b733e8d19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7327",
    "kind": "arxiv",
    "version": 4
  }
}