Pith Number

pith:76DKABTF

pith:2016:76DKABTFILVLNOO7SNIYGDRR7C

not attested not anchored not stored refs pending

Log-Concave Duality in Estimation and Control

Michael Casey, Robert Bassett, Roger J-B Wets

arxiv:1607.02522 v1 · 2016-07-08 · 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{76DKABTFILVLNOO7SNIYGDRR7C}

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	2026-05-18T01:11:16.902435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff86a0066542eab6b9df9351830e31f8aabbedaf8be39b6df3eea96f2d5db23d

Aliases

arxiv: 1607.02522 · arxiv_version: 1607.02522v1 · doi: 10.48550/arxiv.1607.02522 · pith_short_12: 76DKABTFILVL · pith_short_16: 76DKABTFILVLNOO7 · pith_short_8: 76DKABTF

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/76DKABTFILVLNOO7SNIYGDRR7C \
  | 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: ff86a0066542eab6b9df9351830e31f8aabbedaf8be39b6df3eea96f2d5db23d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fae192e366221e5fe2de06a95182663cf1ddfe7f8d8c19a63eb4b66737201ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-07-08T20:23:15Z",
    "title_canon_sha256": "120bac5e782063a57aa70e0c9253268a22f0a5b6bce33ea5e251cad17e9f52e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02522",
    "kind": "arxiv",
    "version": 1
  }
}