Pith Number

pith:CJHI2DGR

pith:2012:CJHI2DGRORTOLJWCDNDN3RXEPG

not attested not anchored not stored refs pending

Maximality and numeraires in convex sets of nonnegative random variables

Constantinos Kardaras

arxiv:1202.4703 v3 · 2012-02-21 · math.FA · 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{CJHI2DGRORTOLJWCDNDN3RXEPG}

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	2026-05-18T02:41:10.408342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

124e8d0cd17466e5a6c21b46ddc6e479881931527e5bbd0c4f843325f351afb8

Aliases

arxiv: 1202.4703 · arxiv_version: 1202.4703v3 · doi: 10.48550/arxiv.1202.4703 · pith_short_12: CJHI2DGRORTO · pith_short_16: CJHI2DGRORTOLJWC · pith_short_8: CJHI2DGR

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/CJHI2DGRORTOLJWCDNDN3RXEPG \
  | 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: 124e8d0cd17466e5a6c21b46ddc6e479881931527e5bbd0c4f843325f351afb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8b71551207e8f035502cfcab68df2e3b52f49c1efe702c6d50fe8d2de81374b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-02-21T17:06:37Z",
    "title_canon_sha256": "2e3341c52293e687bbc969b93252d0d8eaee9729c8a09f7bf3f881cfca138c7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4703",
    "kind": "arxiv",
    "version": 3
  }
}