Pith Number

pith:GCLHJJ4R

pith:2010:GCLHJJ4REZ7MYLLZTZXA735BTX

not attested not anchored not stored refs pending

On the Imbedding Problem for Three-state Time Homogeneous Markov Chains with Coinciding Negative Eigenvalues

Jianmin Chen, Yong Chen

arxiv:1009.2152 v1 · 2010-09-11 · 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{GCLHJJ4REZ7MYLLZTZXA735BTX}

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	2026-05-18T04:41:04.700880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

309674a791267ecc2d799e6e0fefa19de1ff0ea4f502bc1aeb16bec081bcbab5

Aliases

arxiv: 1009.2152 · arxiv_version: 1009.2152v1 · doi: 10.48550/arxiv.1009.2152 · pith_short_12: GCLHJJ4REZ7M · pith_short_16: GCLHJJ4REZ7MYLLZ · pith_short_8: GCLHJJ4R

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/GCLHJJ4REZ7MYLLZTZXA735BTX \
  | 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: 309674a791267ecc2d799e6e0fefa19de1ff0ea4f502bc1aeb16bec081bcbab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4b9af173ad4ff1c4f323d8cd71b76d07cce6982ecd137fa21f908a56ea6f4d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-11T10:28:12Z",
    "title_canon_sha256": "ba60b08c093cd8bca4472157ed8ff91f67211ef55c1e5fc55b217270a5d6c8fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2152",
    "kind": "arxiv",
    "version": 1
  }
}