Pith Number

pith:ZHKM3BRY

pith:2015:ZHKM3BRYDNTAHUTH5GN76RRGRX

not attested not anchored not stored refs pending

Total positivity in Markov structures

Caroline Uhler, Kayvan Sadeghi, Nanny Wermuth, Piotr Zwiernik, Shaun Fallat, Steffen Lauritzen

arxiv:1510.01290 v2 · 2015-10-05 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHKM3BRYDNTAHUTH5GN76RRGRX}

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	2026-05-18T01:15:58.159247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9d4cd86381b6603d267e99bff46268de1d196b1463205f22723256907e3859f

Aliases

arxiv: 1510.01290 · arxiv_version: 1510.01290v2 · doi: 10.48550/arxiv.1510.01290 · pith_short_12: ZHKM3BRYDNTA · pith_short_16: ZHKM3BRYDNTAHUTH · pith_short_8: ZHKM3BRY

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/ZHKM3BRYDNTAHUTH5GN76RRGRX \
  | 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: c9d4cd86381b6603d267e99bff46268de1d196b1463205f22723256907e3859f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "648811c530a440aaf3269cfdf4a6bd8e58345a1607a13ac77485f9841d936d30",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-10-05T19:20:45Z",
    "title_canon_sha256": "e8140c181623640deda937c524f8501db3ed3c4871a969b6563429cb04fee940"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01290",
    "kind": "arxiv",
    "version": 2
  }
}