Pith Number

pith:CIZPI6MT

pith:2016:CIZPI6MTYR2AXI67WQ4WFMKB4F

not attested not anchored not stored refs pending

A Mecke-type formula and Markov properties for STIT tessellation processes

Christoph Thaele, Linh Ngoc Nguyen, Viola Weiss, Werner Nagel

arxiv:1612.03078 v2 · 2016-12-09 · 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{CIZPI6MTYR2AXI67WQ4WFMKB4F}

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	2026-05-18T00:31:23.970762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1232f47993c4740ba3dfb43962b141e15e942a68b584d016c9c0d197d0ee574a

Aliases

arxiv: 1612.03078 · arxiv_version: 1612.03078v2 · doi: 10.48550/arxiv.1612.03078 · pith_short_12: CIZPI6MTYR2A · pith_short_16: CIZPI6MTYR2AXI67 · pith_short_8: CIZPI6MT

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/CIZPI6MTYR2AXI67WQ4WFMKB4F \
  | 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: 1232f47993c4740ba3dfb43962b141e15e942a68b584d016c9c0d197d0ee574a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9b17e95591bc38fe5daac42975f25529ee96cab204ee5f524bb7a7a53214637",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-09T16:26:02Z",
    "title_canon_sha256": "e81ccbfb23c5d388b74ae1ef724fb571805d6365be86713dcf37f07c3d248891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03078",
    "kind": "arxiv",
    "version": 2
  }
}