Pith Number

pith:CCM5MRT6

pith:2013:CCM5MRT6LKDIRF2VX62ICC7PSO

not attested not anchored not stored refs pending

Long Memory and Financial Market Bubble Dynamics in Affine Stochastic Differential Equations with Average Functionals

John A. Daniels, John A. D. Appleby

arxiv:1310.2339 v1 · 2013-10-09 · math.PR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCM5MRT6LKDIRF2VX62ICC7PSO}

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	2026-05-18T03:10:57.263602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1099d6467e5a86889755bfb4810bef93a77061bf27d8aa702595e8a1f86b8f05

Aliases

arxiv: 1310.2339 · arxiv_version: 1310.2339v1 · doi: 10.48550/arxiv.1310.2339 · pith_short_12: CCM5MRT6LKDI · pith_short_16: CCM5MRT6LKDIRF2V · pith_short_8: CCM5MRT6

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/CCM5MRT6LKDIRF2VX62ICC7PSO \
  | 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: 1099d6467e5a86889755bfb4810bef93a77061bf27d8aa702595e8a1f86b8f05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "815e6da7d8290d219947ac50f309255f808e32e2cbcc31e91bc57cf788bab304",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-09T04:34:24Z",
    "title_canon_sha256": "c6deb446aee3a88614d50fd27a4d5b90775bacd4f921ca221c5ab00a3011678c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2339",
    "kind": "arxiv",
    "version": 1
  }
}