Pith Number

pith:RGJJMAHP

pith:2014:RGJJMAHP6UBVQAGMPJQOGA5LEB

not attested not anchored not stored refs pending

Fundamental theorem of asset pricing: a strengthened version and $p$-summable markets

Andrei Lebedev, Petr Zabreiko

arxiv:1412.7058 v1 · 2014-12-22 · 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{RGJJMAHP6UBVQAGMPJQOGA5LEB}

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	2026-05-18T02:30:41.222411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89929600eff5035800cc7a60e303ab206e007dda204379be41813c12f3523a72

Aliases

arxiv: 1412.7058 · arxiv_version: 1412.7058v1 · doi: 10.48550/arxiv.1412.7058 · pith_short_12: RGJJMAHP6UBV · pith_short_16: RGJJMAHP6UBVQAGM · pith_short_8: RGJJMAHP

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/RGJJMAHP6UBVQAGMPJQOGA5LEB \
  | 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: 89929600eff5035800cc7a60e303ab206e007dda204379be41813c12f3523a72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d673c76e87bece898cc57dec402341d57b2c9faee0ec00d96e20ceae370f4e0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2014-12-22T17:08:41Z",
    "title_canon_sha256": "57c70410dec566cd9ffc9d0a74f53bcd0843ae36757182f182e9976dfb890d04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7058",
    "kind": "arxiv",
    "version": 1
  }
}