Pith Number

pith:T6JHQPNR

pith:2016:T6JHQPNR2WZLJGAHZKRPBTQG6V

not attested not anchored not stored refs pending

Shadow price of information in discrete time stochastic optimization

Ari-Pekka Perkki\"o, Teemu Pennanen

arxiv:1601.05202 v1 · 2016-01-20 · math.OC · 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{T6JHQPNR2WZLJGAHZKRPBTQG6V}

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	2026-05-18T01:22:15.817214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f92783db1d5b2b49807caa2f0ce06f566e7fa8dd05fc2e9c10c8bb645ebaf90

Aliases

arxiv: 1601.05202 · arxiv_version: 1601.05202v1 · doi: 10.48550/arxiv.1601.05202 · pith_short_12: T6JHQPNR2WZL · pith_short_16: T6JHQPNR2WZLJGAH · pith_short_8: T6JHQPNR

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/T6JHQPNR2WZLJGAHZKRPBTQG6V \
  | 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: 9f92783db1d5b2b49807caa2f0ce06f566e7fa8dd05fc2e9c10c8bb645ebaf90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63ef8021b1207f9ef7ace7395794c43ac8511baffa1972d6465d75fc012674a0",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-01-20T08:59:43Z",
    "title_canon_sha256": "ea1a8fd19fd1276f97d0918b5bd7aeacee3c063072878d3b74dcdac998c90495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05202",
    "kind": "arxiv",
    "version": 1
  }
}