Pith Number

pith:F2RQAFLY

pith:2007:F2RQAFLYBBVQZWSK4EJGZTI3YU

not attested not anchored not stored refs pending

Representation Theorems for Quadratic ${\cal F}$-Consistent Nonlinear Expectations

Jin Ma (Department of Mathematics), Shige Peng (Institute of Mathematics), Song Yao (Department of Mathematics), Ying Hu (IRMAR)

arxiv:0704.1796 v1 · 2007-04-13 · 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{F2RQAFLYBBVQZWSK4EJGZTI3YU}

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	2026-07-04T15:00:52.638392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ea3001578086b0cda4ae1126ccd1bc519918c81337801bb26e1b4f34e00de84

Aliases

arxiv: 0704.1796 · arxiv_version: 0704.1796v1 · doi: 10.48550/arxiv.0704.1796 · pith_short_12: F2RQAFLYBBVQ · pith_short_16: F2RQAFLYBBVQZWSK · pith_short_8: F2RQAFLY

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/F2RQAFLYBBVQZWSK4EJGZTI3YU \
  | 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: 2ea3001578086b0cda4ae1126ccd1bc519918c81337801bb26e1b4f34e00de84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "134c31398eada44a6dc7ff165244ab18703d5372a2e02a0d9e9cb9dc1bb6671b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-04-13T17:03:19Z",
    "title_canon_sha256": "69ca9a0931e632637dcb94ffb6fe4299d7e4213c8e08a483305eb32f9de6f3a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.1796",
    "kind": "arxiv",
    "version": 1
  }
}