Pith Number

pith:TTGMLRRC

pith:2011:TTGMLRRCFVZBVONCC7LXX2SCLH

not attested not anchored not stored refs pending

Stochastic programs without duality gaps

Ari-Pekka Perkki\"o, Teemu Pennanen

arxiv:1105.0934 v1 · 2011-05-04 · math.OC · cs.SY · q-fin.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{TTGMLRRCFVZBVONCC7LXX2SCLH}

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	2026-05-18T04:22:49.605705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cccc5c6222d721ab9a217d77bea4259f5fc3110814689f1496db68f1e5fea46

Aliases

arxiv: 1105.0934 · arxiv_version: 1105.0934v1 · doi: 10.48550/arxiv.1105.0934 · pith_short_12: TTGMLRRCFVZB · pith_short_16: TTGMLRRCFVZBVONC · pith_short_8: TTGMLRRC

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/TTGMLRRCFVZBVONCC7LXX2SCLH \
  | 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: 9cccc5c6222d721ab9a217d77bea4259f5fc3110814689f1496db68f1e5fea46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94e0b217e95967d68ec3d9f381abd03b11b24b509a06435d58adbe72f0148bd7",
    "cross_cats_sorted": [
      "cs.SY",
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-05-04T20:31:08Z",
    "title_canon_sha256": "489c8d181e99c15047d1c2db28290a35396cd160515ea9e7322e63a87ccff086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0934",
    "kind": "arxiv",
    "version": 1
  }
}