Pith Number

pith:2NR2OLQH

pith:2026:2NR2OLQHVCV6PKFH6JPA7NOXNE

not attested not anchored not stored refs pending

The Fundamental Theorem of Asset Pricing, Formalized in Lean 4

Raphael Coelho

arxiv:2606.28990 v1 · 2026-06-27 · 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{2NR2OLQHVCV6PKFH6JPA7NOXNE}

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	2026-06-30T01:17:48.465082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d363a72e07a8abe7a8a7f25e0fb5d769189f70441c42f422b60c2842edff07f9

Aliases

arxiv: 2606.28990 · arxiv_version: 2606.28990v1 · doi: 10.48550/arxiv.2606.28990 · pith_short_12: 2NR2OLQHVCV6 · pith_short_16: 2NR2OLQHVCV6PKFH · pith_short_8: 2NR2OLQH

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/2NR2OLQHVCV6PKFH6JPA7NOXNE \
  | 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: d363a72e07a8abe7a8a7f25e0fb5d769189f70441c42f422b60c2842edff07f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "333eff47592057e1b8672e75c4e0f75ef8f05d8225e25b7d8e48cd3136ab84ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2026-06-27T15:58:42Z",
    "title_canon_sha256": "26bb515b55c1cff7ce5efc0666fa1c13c84fbca646e57f24f82d4139ad742a4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28990",
    "kind": "arxiv",
    "version": 1
  }
}