Pith Number

pith:455PVD2J

pith:2013:455PVD2JWVHLU6JT3COIEDM2YE

not attested not anchored not stored refs pending

On solutions of Kolmogorov's equations for jump Markov processes

Albert N. Shiryaev, Eugene A. Feinberg, Manasa Mandava

arxiv:1301.6998 v3 · 2013-01-29 · 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{455PVD2JWVHLU6JT3COIEDM2YE}

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	2026-05-18T03:28:45.456357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e77afa8f49b54eba7933d89c820d9ac10b341b120330a8baf33472d6ecff817a

Aliases

arxiv: 1301.6998 · arxiv_version: 1301.6998v3 · doi: 10.48550/arxiv.1301.6998 · pith_short_12: 455PVD2JWVHL · pith_short_16: 455PVD2JWVHLU6JT · pith_short_8: 455PVD2J

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/455PVD2JWVHLU6JT3COIEDM2YE \
  | 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: e77afa8f49b54eba7933d89c820d9ac10b341b120330a8baf33472d6ecff817a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91981838501015a071afd809a6be1879d7c32a04d13431ca2194a8a0304b3dc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-29T17:44:11Z",
    "title_canon_sha256": "0f5c8dd9160e54b14e254d912934de16e9b40a1156b61b140a4b94d65f35384f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6998",
    "kind": "arxiv",
    "version": 3
  }
}