Pith Number

pith:PPULQRXZ

pith:2012:PPULQRXZUSZX4NRIMMNATWRB4Y

not attested not anchored not stored refs pending

A control problem with fuel constraint and Dawson-Watanabe superprocesses

Alexander Schied

arxiv:1207.5809 v7 · 2012-07-24 · math.PR · math.OC · q-fin.CP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPULQRXZUSZX4NRIMMNATWRB4Y}

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	2026-05-18T03:05:28.493292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7be8b846f9a4b37e3628631a09da21e616c7f5061a05c7ab3e734a236c3b6328

Aliases

arxiv: 1207.5809 · arxiv_version: 1207.5809v7 · doi: 10.48550/arxiv.1207.5809 · pith_short_12: PPULQRXZUSZX · pith_short_16: PPULQRXZUSZX4NRI · pith_short_8: PPULQRXZ

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/PPULQRXZUSZX4NRIMMNATWRB4Y \
  | 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: 7be8b846f9a4b37e3628631a09da21e616c7f5061a05c7ab3e734a236c3b6328

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23e7bfc4b9ce2d8e22abeb79e1e9747572adfec49602ef3e5e2774d4a0314495",
    "cross_cats_sorted": [
      "math.OC",
      "q-fin.CP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-24T20:07:13Z",
    "title_canon_sha256": "02550bc3f0e8e9c88875b6a8b6d29b7388b5150761b4e8442bf459955839f2ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5809",
    "kind": "arxiv",
    "version": 7
  }
}