Pith Number

pith:EON7U47R

pith:2014:EON7U47ROATZQMEBI5OX54NCJL

not attested not anchored not stored refs pending

Martingale Inequalities and Deterministic Counterparts

Marcel Nutz, Mathias Beiglb\"ock

arxiv:1401.4698 v2 · 2014-01-19 · math.PR · q-fin.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{EON7U47ROATZQMEBI5OX54NCJL}

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	2026-05-18T02:39:48.464637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

239bfa73f17027983081475d7ef1a24ad21081a018b2c955e8438fa5a4957c5c

Aliases

arxiv: 1401.4698 · arxiv_version: 1401.4698v2 · doi: 10.48550/arxiv.1401.4698 · pith_short_12: EON7U47ROATZ · pith_short_16: EON7U47ROATZQMEB · pith_short_8: EON7U47R

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/EON7U47ROATZQMEBI5OX54NCJL \
  | 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: 239bfa73f17027983081475d7ef1a24ad21081a018b2c955e8438fa5a4957c5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cf22392e15d0c66d1d564212982ce8516d27575a4f7ff89236e18971dd25a99",
    "cross_cats_sorted": [
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-01-19T16:48:43Z",
    "title_canon_sha256": "1c1110b79764d108f0cf1756641f30488fb7a1052d9673e2b8bb6e829eedc2d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4698",
    "kind": "arxiv",
    "version": 2
  }
}