Pith Number

pith:SADEWZXB

pith:2015:SADEWZXB62UURU3JE2RMAZRLZS

not attested not anchored not stored refs pending

A Complex Version of G-Expectation and its Application to Conformal Martingale

Huilin Zhang

arxiv:1502.02787 v1 · 2015-02-10 · 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{SADEWZXB62UURU3JE2RMAZRLZS}

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	2026-05-18T02:27:30.956086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90064b66e1f6a948d36926a2c0662bccb471abecd2f9c692a6613aee9a1abf39

Aliases

arxiv: 1502.02787 · arxiv_version: 1502.02787v1 · doi: 10.48550/arxiv.1502.02787 · pith_short_12: SADEWZXB62UU · pith_short_16: SADEWZXB62UURU3J · pith_short_8: SADEWZXB

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/SADEWZXB62UURU3JE2RMAZRLZS \
  | 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: 90064b66e1f6a948d36926a2c0662bccb471abecd2f9c692a6613aee9a1abf39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f03a354fd72b8267c87b19fc491ae13fc635b2028bb11ca615e46f6539a06c5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-10T05:40:18Z",
    "title_canon_sha256": "d3229f338c78508c37ba3c297eb3dceb7f2851063743a299385540274f7d5f28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02787",
    "kind": "arxiv",
    "version": 1
  }
}