Pith Number

pith:CFUHFIOD

pith:2016:CFUHFIODRU7D54PC6PWAXBRDNF

not attested not anchored not stored refs pending

How do future expectations affect the financial sector? Expectations modeling, infinite horizon (controlled) random FBSDEs and stochastic viscosity solutions

Athanasios N. Yannacopoulos, Nikolaos Englezos, Xanthi-Isidora Kartala

arxiv:1609.08708 v1 · 2016-09-27 · 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{CFUHFIODRU7D54PC6PWAXBRDNF}

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	2026-05-18T01:03:42.144493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

116872a1c38d3e3ef1e2f3ec0b8623694899273aa8269051b42196f99298f143

Aliases

arxiv: 1609.08708 · arxiv_version: 1609.08708v1 · doi: 10.48550/arxiv.1609.08708 · pith_short_12: CFUHFIODRU7D · pith_short_16: CFUHFIODRU7D54PC · pith_short_8: CFUHFIOD

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/CFUHFIODRU7D54PC6PWAXBRDNF \
  | 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: 116872a1c38d3e3ef1e2f3ec0b8623694899273aa8269051b42196f99298f143

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1b32a56454eeec5c8a50f5ff6c7f62bc19eb5bdd0494933b9e1d66c68758e3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-27T23:37:17Z",
    "title_canon_sha256": "974fc6014a3fbeec07277327cebc7d121b1ee84700943eb98362b9567ab94845"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08708",
    "kind": "arxiv",
    "version": 1
  }
}