Pith Number

pith:5WUMH54G

pith:2011:5WUMH54GYYPGJZLD37TXNDZVVA

not attested not anchored not stored refs pending

Optimal investment under multiple defaults risk: A BSDE-decomposition approach

Huy\^en Pham, Idris Kharroubi, Ying Jiao

arxiv:1102.5678 v2 · 2011-02-28 · 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{5WUMH54GYYPGJZLD37TXNDZVVA}

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	2026-05-18T03:32:59.107733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eda8c3f786c61e64e563dfe7768f35a82a9a66ee099bc09a6d4fb279192199c5

Aliases

arxiv: 1102.5678 · arxiv_version: 1102.5678v2 · doi: 10.48550/arxiv.1102.5678 · pith_short_12: 5WUMH54GYYPG · pith_short_16: 5WUMH54GYYPGJZLD · pith_short_8: 5WUMH54G

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/5WUMH54GYYPGJZLD37TXNDZVVA \
  | 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: eda8c3f786c61e64e563dfe7768f35a82a9a66ee099bc09a6d4fb279192199c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9ea0817dc7b5e7a837becd47621af26832a1394f74a4743fe7d1692fb66dd25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-28T14:47:08Z",
    "title_canon_sha256": "da2b5ec5dfe48903e5338ede290e50538931d1365fa5e1dcaa97d2b85c54cdc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5678",
    "kind": "arxiv",
    "version": 2
  }
}