Pith Number

pith:W64M5VTJ

pith:2010:W64M5VTJQY2MMDNJREFR3QDAOZ

not attested not anchored not stored refs pending

Heat Kernel Interest Rate Models with Time-Inhomogeneous Markov Processes

Andrea Macrina, Jiro Akahori

arxiv:1012.1878 v1 · 2010-12-08 · q-fin.CP · q-fin.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{W64M5VTJQY2MMDNJREFR3QDAOZ}

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	2026-05-18T04:33:49.430287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7b8ced6698634c60da9890b1dc06076759f5bc8f25faf58fde8563054a6be98

Aliases

arxiv: 1012.1878 · arxiv_version: 1012.1878v1 · doi: 10.48550/arxiv.1012.1878 · pith_short_12: W64M5VTJQY2M · pith_short_16: W64M5VTJQY2MMDNJ · pith_short_8: W64M5VTJ

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/W64M5VTJQY2MMDNJREFR3QDAOZ \
  | 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: b7b8ced6698634c60da9890b1dc06076759f5bc8f25faf58fde8563054a6be98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b289ec6fa6c858a8d118810784ffaaa11bc43dbdfb134bd34147c7977aaba065",
    "cross_cats_sorted": [
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.CP",
    "submitted_at": "2010-12-08T21:39:10Z",
    "title_canon_sha256": "444e99e3b604da2ee5a91a07a378b62d85117d10b3f6ff9c7b246a3ff58a61c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1878",
    "kind": "arxiv",
    "version": 1
  }
}