Pith Number

pith:ZOULNLDQ

pith:2016:ZOULNLDQRB3FTTCXBCDF6BVHKK

not attested not anchored not stored refs pending

Pointwise Arbitrage Pricing Theory in Discrete Time

Jan Ob{\l}\'oj, Marco Frittelli, Marco Maggis, Matteo Burzoni, Zhaoxu Hou

arxiv:1612.07618 v2 · 2016-12-22 · q-fin.MF · 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{ZOULNLDQRB3FTTCXBCDF6BVHKK}

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	2026-05-18T00:24:10.403796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cba8b6ac70887659cc5708865f06a752982241265a3510504c77e2b6fdb7a19c

Aliases

arxiv: 1612.07618 · arxiv_version: 1612.07618v2 · doi: 10.48550/arxiv.1612.07618 · pith_short_12: ZOULNLDQRB3F · pith_short_16: ZOULNLDQRB3FTTCX · pith_short_8: ZOULNLDQ

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/ZOULNLDQRB3FTTCXBCDF6BVHKK \
  | 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: cba8b6ac70887659cc5708865f06a752982241265a3510504c77e2b6fdb7a19c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad80a03dac25aead556e99ac8a4e237013771323fd270cf273292ef434940beb",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2016-12-22T14:39:58Z",
    "title_canon_sha256": "8e2d83f5eab74b5e0d3bf47f81c27b288dac960af811d378ceffbd67b577c876"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07618",
    "kind": "arxiv",
    "version": 2
  }
}