Pith Number

pith:BIXTH4CV

pith:2013:BIXTH4CVVD57HESW2H4IVPO7QH

not attested not anchored not stored refs pending

Percolation on stationary tessellations: models, mean values and second order structure

Eva Ochsenreither, G\"unter Last

arxiv:1312.6366 v1 · 2013-12-22 · 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{BIXTH4CVVD57HESW2H4IVPO7QH}

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	2026-05-18T03:03:58.478529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a2f33f055a8fbf39256d1f88abddf81dc8c9945c343da7c8b0174f1fba40c25

Aliases

arxiv: 1312.6366 · arxiv_version: 1312.6366v1 · doi: 10.48550/arxiv.1312.6366 · pith_short_12: BIXTH4CVVD57 · pith_short_16: BIXTH4CVVD57HESW · pith_short_8: BIXTH4CV

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/BIXTH4CVVD57HESW2H4IVPO7QH \
  | 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: 0a2f33f055a8fbf39256d1f88abddf81dc8c9945c343da7c8b0174f1fba40c25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b7416df57e78e456d9f38765c63013f65ea110f3a7f037dd0a0356dbf008cf9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-22T11:31:32Z",
    "title_canon_sha256": "03eea97e65334aa182b53d081225cf17d175fff8bfd9d2a6ca5b317906cef467"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6366",
    "kind": "arxiv",
    "version": 1
  }
}