Pith Number

pith:TBRKCKAW

pith:2016:TBRKCKAWHBWSOIFO6PK2CNBPIY

not attested not anchored not stored refs pending

Joint dynamic probabilistic constraints with projected linear decision rules

Rene Henrion, Vincent Guigues

arxiv:1601.05238 v4 · 2016-01-20 · 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{TBRKCKAWHBWSOIFO6PK2CNBPIY}

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	2026-05-18T01:04:37.636399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9862a12816386d2720aef3d5a1342f463d5c7f5ac02c8c1c1c4f1f5325b9fd30

Aliases

arxiv: 1601.05238 · arxiv_version: 1601.05238v4 · doi: 10.48550/arxiv.1601.05238 · pith_short_12: TBRKCKAWHBWS · pith_short_16: TBRKCKAWHBWSOIFO · pith_short_8: TBRKCKAW

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/TBRKCKAWHBWSOIFO6PK2CNBPIY \
  | 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: 9862a12816386d2720aef3d5a1342f463d5c7f5ac02c8c1c1c4f1f5325b9fd30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc73a8b42cd68cf5b45950ab446a53757c28ca462a6ed0421c2f45127d1b82f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-01-20T11:04:37Z",
    "title_canon_sha256": "98d1c4b1838505d7a1b27a3e9d64019b876ef941f42e3950b859b322ce4e635f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05238",
    "kind": "arxiv",
    "version": 4
  }
}