Pith Number

pith:CYBV2BYZ

pith:2017:CYBV2BYZWVMUHIT56BK6TBHPBH

not attested not anchored not stored refs pending

Multiperiod Martingale Transport

Florian Stebegg, Marcel Nutz, Xiaowei Tan

arxiv:1703.10588 v2 · 2017-03-30 · math.PR · math.OC · q-fin.MF

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYBV2BYZWVMUHIT56BK6TBHPBH}

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	2026-05-17T23:45:53.576890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16035d0719b55943a27df055e984ef09e744894abec7cf86dbc9d3125763f37b

Aliases

arxiv: 1703.10588 · arxiv_version: 1703.10588v2 · doi: 10.48550/arxiv.1703.10588 · pith_short_12: CYBV2BYZWVMU · pith_short_16: CYBV2BYZWVMUHIT5 · pith_short_8: CYBV2BYZ

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/CYBV2BYZWVMUHIT56BK6TBHPBH \
  | 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: 16035d0719b55943a27df055e984ef09e744894abec7cf86dbc9d3125763f37b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3ccd9ef5d18cd8873a11949b98838cb68e46cf0fb404d8720f94720ed27e455",
    "cross_cats_sorted": [
      "math.OC",
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-03-30T17:38:44Z",
    "title_canon_sha256": "199e22262e7e2f99c43905b18595fc86d4a98ec0e319e53f9cfe9e8f00913064"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10588",
    "kind": "arxiv",
    "version": 2
  }
}