Pith Number

pith:3R7ZHXUZ

pith:2019:3R7ZHXUZACXIWRCE5RAJMV5AIS

not attested not anchored not stored refs pending

Continuity Properties of Game-theoretic Upper Expectations

Gert de Cooman, Jasper De Bock, Natan T'Joens

arxiv:1902.09406 v3 · 2019-02-25 · 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{3R7ZHXUZACXIWRCE5RAJMV5AIS}

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	2026-05-17T23:49:50.010549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc7f93de9900ae8b4444ec409657a0449fbc2bfa828588ffc64e94050a540d67

Aliases

arxiv: 1902.09406 · arxiv_version: 1902.09406v3 · doi: 10.48550/arxiv.1902.09406 · pith_short_12: 3R7ZHXUZACXI · pith_short_16: 3R7ZHXUZACXIWRCE · pith_short_8: 3R7ZHXUZ

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/3R7ZHXUZACXIWRCE5RAJMV5AIS \
  | 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: dc7f93de9900ae8b4444ec409657a0449fbc2bfa828588ffc64e94050a540d67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc6ff99ed50fed24e4503dcc8e00602a0cc5cb3f083c2571d46f94b533f20f8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-02-25T16:07:37Z",
    "title_canon_sha256": "56f8c03c2a2f0d193bb73692e43849fb530b7b45e1c65b7f7a4df7b6d37fb5ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.09406",
    "kind": "arxiv",
    "version": 3
  }
}