Pith Number

pith:ZCZIVLGE

pith:2014:ZCZIVLGE4VVHANUNLUKDHCCJ2W

not attested not anchored not stored refs pending

A stochastic control approach to no-arbitrage bounds given marginals, with an application to lookback options

A. Galichon, N. Touzi, P. Henry-Labord\`ere

arxiv:1401.3921 v1 · 2014-01-16 · 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{ZCZIVLGE4VVHANUNLUKDHCCJ2W}

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	2026-05-18T03:02:06.029368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8b28aacc4e56a70368d5d14338849d58a0a4ae8bee2a0b6e34bd2d7b3e666fb

Aliases

arxiv: 1401.3921 · arxiv_version: 1401.3921v1 · doi: 10.48550/arxiv.1401.3921 · pith_short_12: ZCZIVLGE4VVH · pith_short_16: ZCZIVLGE4VVHANUN · pith_short_8: ZCZIVLGE

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/ZCZIVLGE4VVHANUNLUKDHCCJ2W \
  | 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: c8b28aacc4e56a70368d5d14338849d58a0a4ae8bee2a0b6e34bd2d7b3e666fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7532ffcda5cfedf240e8eb849140c712782191bbfe4617b0159c1abeea789dd7",
    "cross_cats_sorted": [
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-01-16T07:41:39Z",
    "title_canon_sha256": "62ccf3326aab00b7a8c10d53504f0866befa40075546088d5a38abd538f7dba7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3921",
    "kind": "arxiv",
    "version": 1
  }
}