Pith Number

pith:2GW2TSTD

pith:2015:2GW2TSTDMNJNGSSP4RUURY33X5

not attested not anchored not stored refs pending

A martingale representation theorem and valuation of defaultable securities

Catherine Daveloose, Mich\`ele Vanmaele, Tahir Choulli

arxiv:1510.05858 v3 · 2015-10-20 · 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{2GW2TSTDMNJNGSSP4RUURY33X5}

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	2026-05-18T00:14:47.956714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1ada9ca636352d34a4fe46948e37bbf632bc72ff2fff8a8e43972a215569f54

Aliases

arxiv: 1510.05858 · arxiv_version: 1510.05858v3 · doi: 10.48550/arxiv.1510.05858 · pith_short_12: 2GW2TSTDMNJN · pith_short_16: 2GW2TSTDMNJNGSSP · pith_short_8: 2GW2TSTD

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/2GW2TSTDMNJNGSSP4RUURY33X5 \
  | 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: d1ada9ca636352d34a4fe46948e37bbf632bc72ff2fff8a8e43972a215569f54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05f5af95ef13d1c8b29da510801ff420605cabde22c5a51f5fb89b3506dfc138",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2015-10-20T12:23:03Z",
    "title_canon_sha256": "865f5bce3a6072d452e88562ff419e625085e4c39d029a54c6b5095961a2ae4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05858",
    "kind": "arxiv",
    "version": 3
  }
}