Pith Number

pith:WR6UC7T3

pith:2013:WR6UC7T3L37KFXFEO7L7D3FWSL

not attested not anchored not stored refs pending

On the Solution of General Impulse Control Problems Using Superharmonic Functions

S\"oren Christensen

arxiv:1304.3578 v2 · 2013-04-12 · 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{WR6UC7T3L37KFXFEO7L7D3FWSL}

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	2026-05-18T03:10:24.122868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b47d417e7b5efea2dca477d7f1ecb692d7d7b50a3e6900f9ef754e835c024cd4

Aliases

arxiv: 1304.3578 · arxiv_version: 1304.3578v2 · doi: 10.48550/arxiv.1304.3578 · pith_short_12: WR6UC7T3L37K · pith_short_16: WR6UC7T3L37KFXFE · pith_short_8: WR6UC7T3

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/WR6UC7T3L37KFXFEO7L7D3FWSL \
  | 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: b47d417e7b5efea2dca477d7f1ecb692d7d7b50a3e6900f9ef754e835c024cd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c065d5d689664a749d0b1aac7aa5aafb908ce5407ca2116a92d824c96b0544d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-12T09:06:55Z",
    "title_canon_sha256": "def62eed52cc96b3085b03d78cb82a41976907f930f4a2cae60481350c1098f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3578",
    "kind": "arxiv",
    "version": 2
  }
}