Pith Number

pith:3P5FR4NU

pith:2016:3P5FR4NUXJ7FZVH7B3HNN6MXNB

not attested not anchored not stored refs pending

A Note on Real-World and Risk-Neutral Dynamics for Heath-Jarrow-Morton Frameworks

David Criens

arxiv:1607.03086 v2 · 2016-07-11 · 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{3P5FR4NUXJ7FZVH7B3HNN6MXNB}

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	2026-05-18T00:39:40.376779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbfa58f1b4ba7e5cd4ff0eced6f997687e6b6971d9235dfa52bb4eca4efcc729

Aliases

arxiv: 1607.03086 · arxiv_version: 1607.03086v2 · doi: 10.48550/arxiv.1607.03086 · pith_short_12: 3P5FR4NUXJ7F · pith_short_16: 3P5FR4NUXJ7FZVH7 · pith_short_8: 3P5FR4NU

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/3P5FR4NUXJ7FZVH7B3HNN6MXNB \
  | 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: dbfa58f1b4ba7e5cd4ff0eced6f997687e6b6971d9235dfa52bb4eca4efcc729

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dcf219d5d8d4a5580962a050a3b809af850af0ed28987dba55db453c223e10e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-11T19:31:07Z",
    "title_canon_sha256": "9323eaaad1ca3a89ecfba53abe47141a80dbbdb8123689439d40203efdfed32f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03086",
    "kind": "arxiv",
    "version": 2
  }
}