Pith Number

pith:LCHJ7CL4

pith:2012:LCHJ7CL4364XGTRMU32IYV5JIV

not attested not anchored not stored refs pending

How Non-Arbitrage, Viability and Num\'eraire Portfolio are Related

Jun Deng, Junfeng Ma, Tahir Choulli

arxiv:1211.4598 v3 · 2012-11-19 · q-fin.GN · math.OC · math.PR · q-fin.PM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LCHJ7CL4364XGTRMU32IYV5JIV}

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	2026-05-18T02:49:30.028623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

588e9f897cdfb9734e2ca6f48c57a94540d33b2eaffc76c311b1588971e16f45

Aliases

arxiv: 1211.4598 · arxiv_version: 1211.4598v3 · doi: 10.48550/arxiv.1211.4598 · pith_short_12: LCHJ7CL4364X · pith_short_16: LCHJ7CL4364XGTRM · pith_short_8: LCHJ7CL4

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/LCHJ7CL4364XGTRMU32IYV5JIV \
  | 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: 588e9f897cdfb9734e2ca6f48c57a94540d33b2eaffc76c311b1588971e16f45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b83640f1fb1ed8396d4a4bdf7b149fde61ece18d9f687b0d9ea64829b851236",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR",
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.GN",
    "submitted_at": "2012-11-19T21:26:50Z",
    "title_canon_sha256": "fe76745dc3969c66800691c23f753f47705c2ccccf2dfb967bf50509937939c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4598",
    "kind": "arxiv",
    "version": 3
  }
}