Pith Number

pith:P2LKINZ3

pith:2025:P2LKINZ3V2RIPN2O6I2CHTWMVK

not attested not anchored not stored refs pending

On monotone completion of risk markets: Limit results for incomplete risk markets

Danny Ralph, Geoffrey Pritchard, Golbon Zakeri, Iman Khajepour

arxiv:2504.18436 v1 · 2025-04-25 · math.OC · q-fin.RM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P2LKINZ3V2RIPN2O6I2CHTWMVK}

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	2026-07-05T10:54:07.187828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e96a4373baea287b74ef23423ceccaab8e47ded405b651c04bb915aa7e28896

Aliases

arxiv: 2504.18436 · arxiv_version: 2504.18436v1 · doi: 10.48550/arxiv.2504.18436 · pith_short_12: P2LKINZ3V2RI · pith_short_16: P2LKINZ3V2RIPN2O · pith_short_8: P2LKINZ3

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/P2LKINZ3V2RIPN2O6I2CHTWMVK \
  | 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: 7e96a4373baea287b74ef23423ceccaab8e47ded405b651c04bb915aa7e28896

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "261f278e24eb93c070c468aa4f93340785cacd77c21031dd97accbb4ae88618e",
    "cross_cats_sorted": [
      "q-fin.RM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-04-25T15:46:22Z",
    "title_canon_sha256": "322c9f95b52488733d5f3fbea470890e7c1d65a52e3fca7b5af380c6e065feb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.18436",
    "kind": "arxiv",
    "version": 1
  }
}