Pith Number

pith:OYUZZZQT

pith:2015:OYUZZZQTDDORBLEMEX5JOA5Q2A

not attested not anchored not stored refs pending

Convex integral functionals of regular processes

Ari-Pekka Perkki\"o, Teemu Pennanen

arxiv:1508.04609 v2 · 2015-08-19 · math.PR · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OYUZZZQTDDORBLEMEX5JOA5Q2A}

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	2026-05-18T00:52:44.459411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76299ce61318dd10ac8c25fa9703b0d0382e3e7264b0b071b206f933d5f6b3e9

Aliases

arxiv: 1508.04609 · arxiv_version: 1508.04609v2 · doi: 10.48550/arxiv.1508.04609 · pith_short_12: OYUZZZQTDDOR · pith_short_16: OYUZZZQTDDORBLEM · pith_short_8: OYUZZZQT

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/OYUZZZQTDDORBLEMEX5JOA5Q2A \
  | 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: 76299ce61318dd10ac8c25fa9703b0d0382e3e7264b0b071b206f933d5f6b3e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03e2b915301bd26a4826149c7219457b406db2636809ab8e45b028dcb5807f70",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-19T11:59:44Z",
    "title_canon_sha256": "b1e39357398d3a54aeac5b01eefe3c420d5dba7c00299d8f81252b23b8bd4212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04609",
    "kind": "arxiv",
    "version": 2
  }
}