Pith Number

pith:IF2UAXCT

pith:2018:IF2UAXCTUODQL3NSCDPDPUB7HN

not attested not anchored not stored refs pending

Stationary probability vectors of higher-order two-dimensional transition probability tensors

Liqun Qi, Zheng-Hai Huang

arxiv:1802.10270 v1 · 2018-02-28 · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IF2UAXCTUODQL3NSCDPDPUB7HN}

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	2026-05-18T00:22:17.659209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4175405c53a38705edb210de37d03f3b7ee6d0692a5c257194fd21fac9d8628a

Aliases

arxiv: 1802.10270 · arxiv_version: 1802.10270v1 · doi: 10.48550/arxiv.1802.10270 · pith_short_12: IF2UAXCTUODQ · pith_short_16: IF2UAXCTUODQL3NS · pith_short_8: IF2UAXCT

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/IF2UAXCTUODQL3NSCDPDPUB7HN \
  | 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: 4175405c53a38705edb210de37d03f3b7ee6d0692a5c257194fd21fac9d8628a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "812ed82290798f38583b7cac7a8df2fb209497715dc56add8e8852b40b4036c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-02-28T06:02:32Z",
    "title_canon_sha256": "7da2e1a7d3920d585e20de9cc90dab514e2d2d01297993a1f9404a5285aa9575"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.10270",
    "kind": "arxiv",
    "version": 1
  }
}