Pith Number

pith:WXQ22IDT

pith:2015:WXQ22IDTU2Z2CB72GJQZIVPQ37

not attested not anchored not stored refs pending

On the integral representation of g-expectations with terminal constraints

Xiaojuan Li

arxiv:1502.03875 v1 · 2015-02-13 · 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{WXQ22IDTU2Z2CB72GJQZIVPQ37}

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	2026-05-18T02:27:07.069463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5e1ad2073a6b3a107fa32619455f0dfc531ec07609597cf97559bb30db52862

Aliases

arxiv: 1502.03875 · arxiv_version: 1502.03875v1 · doi: 10.48550/arxiv.1502.03875 · pith_short_12: WXQ22IDTU2Z2 · pith_short_16: WXQ22IDTU2Z2CB72 · pith_short_8: WXQ22IDT

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/WXQ22IDTU2Z2CB72GJQZIVPQ37 \
  | 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: b5e1ad2073a6b3a107fa32619455f0dfc531ec07609597cf97559bb30db52862

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56406ec99beee33ffa68ec277e30c66984f0d19418621cb8694affb70b732d67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-13T03:02:41Z",
    "title_canon_sha256": "012f3fdc26171ab9d9961a71eef00ce9491dc52e00be5a46988ee126f7e27026"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03875",
    "kind": "arxiv",
    "version": 1
  }
}