Pith Number

pith:UHP4263E

pith:2014:UHP4263E5XBB4WZZVIWG6FWQLQ

not attested not anchored not stored refs pending

Approximation of Markov Processes by Lower Dimensional Processes via Total Variation Metrics

Charalambos D. Charalambous, Christoforos N. Hadjicostis, Ioannis Tzortzis, Mikael Johansson, Themistoklis Charalambous

arxiv:1410.3976 v1 · 2014-10-15 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UHP4263E5XBB4WZZVIWG6FWQLQ}

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	2026-05-18T00:58:36.581904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1dfcd7b64edc21e5b39aa2c6f16d05c19d16c2e5b2af7bb398085ed4cf89766

Aliases

arxiv: 1410.3976 · arxiv_version: 1410.3976v1 · doi: 10.48550/arxiv.1410.3976 · pith_short_12: UHP4263E5XBB · pith_short_16: UHP4263E5XBB4WZZ · pith_short_8: UHP4263E

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/UHP4263E5XBB4WZZVIWG6FWQLQ \
  | 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: a1dfcd7b64edc21e5b39aa2c6f16d05c19d16c2e5b2af7bb398085ed4cf89766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b0b204374d00d45c3b7296a98d067892f2140f634a99b9365de4414e7b35542",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-10-15T09:03:31Z",
    "title_canon_sha256": "da905a3662e8782b817aa78142ab02ec3f755cba685d5cef9e89203fd976530e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3976",
    "kind": "arxiv",
    "version": 1
  }
}