Pith Number

pith:GIR6ZAFX

pith:2013:GIR6ZAFXWR776SQBQFQSRCYFGT

not attested not anchored not stored refs pending

Dynamic Programming for controlled Markov families: abstractly and over Martingale Measures

Gordan Zitkovic

arxiv:1307.5163 v2 · 2013-07-19 · math.OC · q-fin.PM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GIR6ZAFXWR776SQBQFQSRCYFGT}

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	2026-05-18T02:56:19.107417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3223ec80b7b47fff4a018161288b0534f25be3b26fe9d23357759099199c79d6

Aliases

arxiv: 1307.5163 · arxiv_version: 1307.5163v2 · doi: 10.48550/arxiv.1307.5163 · pith_short_12: GIR6ZAFXWR77 · pith_short_16: GIR6ZAFXWR776SQB · pith_short_8: GIR6ZAFX

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/GIR6ZAFXWR776SQBQFQSRCYFGT \
  | 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: 3223ec80b7b47fff4a018161288b0534f25be3b26fe9d23357759099199c79d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d5e6e37e141f531fd8958e4b1d3948014638c073d0814793dab2d73eb2c6f92",
    "cross_cats_sorted": [
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-07-19T09:17:31Z",
    "title_canon_sha256": "04fd7dc929985c3b0b23e51bdcf9b2bfd667c8f111eb4d2606ae75f6b75f8ee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5163",
    "kind": "arxiv",
    "version": 2
  }
}