Pith Number

pith:7K3ZXP3A

pith:2024:7K3ZXP3AIG6AODGNCT5BGAS3JJ

not attested not anchored not stored refs pending

$q$-Bass martingales

Bertram Tschiderer

arxiv:2402.05669 v1 · 2024-02-08 · 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{7K3ZXP3AIG6AODGNCT5BGAS3JJ}

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.

Cited by

1 paper in Pith

Arbitrage-Free Multi-Maturity Risk-Neutral Marginals

Receipt and verification

First computed	2026-07-05T07:42:54.113681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fab79bbf6041bc070ccd14fa13025b4a634d5967ea071606a9c12e5155bb61fe

Aliases

arxiv: 2402.05669 · arxiv_version: 2402.05669v1 · doi: 10.48550/arxiv.2402.05669 · pith_short_12: 7K3ZXP3AIG6A · pith_short_16: 7K3ZXP3AIG6AODGN · pith_short_8: 7K3ZXP3A

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/7K3ZXP3AIG6AODGNCT5BGAS3JJ \
  | 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: fab79bbf6041bc070ccd14fa13025b4a634d5967ea071606a9c12e5155bb61fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8d988d53ed2056ac9d3bae70f86ce2b93e87e96e14eedc98a80ea69b107da78",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-02-08T13:46:17Z",
    "title_canon_sha256": "e220b786e7dd6f1db55e9581067e5681e9497f68237d3fb4c8da2330e12e2f27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.05669",
    "kind": "arxiv",
    "version": 1
  }
}