Pith Number

pith:ID564GGA

pith:2016:ID564GGAIGBM6XIP7JY5YZMFKD

not attested not anchored not stored refs pending

Bernoulli Percolation on random Tessellations

Sebastian Ziesche

arxiv:1609.04707 v1 · 2016-09-15 · 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{ID564GGAIGBM6XIP7JY5YZMFKD}

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	2026-05-18T01:04:35.812274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40fbee18c04182cf5d0ffa71dc658550e3a70adb765370519c209b9ce6851f97

Aliases

arxiv: 1609.04707 · arxiv_version: 1609.04707v1 · doi: 10.48550/arxiv.1609.04707 · pith_short_12: ID564GGAIGBM · pith_short_16: ID564GGAIGBM6XIP · pith_short_8: ID564GGA

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/ID564GGAIGBM6XIP7JY5YZMFKD \
  | 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: 40fbee18c04182cf5d0ffa71dc658550e3a70adb765370519c209b9ce6851f97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "627e0c84f27b508a3c4b5a3cb32072daaaeccff6aee4ad592f5dc79f1dfd95ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-15T15:54:45Z",
    "title_canon_sha256": "b9665c0d519f13641cf62adb28debd0a7c4388839f732943efa7f8a8b9121d59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04707",
    "kind": "arxiv",
    "version": 1
  }
}