Pith Number

pith:LJ7KIKJT

pith:2021:LJ7KIKJTFZBWQQ4KWSBPNMGHAM

not attested not anchored not stored refs pending

Bernoulli hyper-edge percolation on Zd

Yinshan Chang

arxiv:2101.06082 v2 · 2021-01-15 · 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{LJ7KIKJTFZBWQQ4KWSBPNMGHAM}

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.

Cited by

1 paper in Pith

Nonamenable Poisson zoo

Receipt and verification

First computed	2026-07-05T03:56:00.576239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a7ea429332e4368438ab482f6b0c70306fff56dc2fa01da5f1a0157e3f296e0

Aliases

arxiv: 2101.06082 · arxiv_version: 2101.06082v2 · doi: 10.48550/arxiv.2101.06082 · pith_short_12: LJ7KIKJTFZBW · pith_short_16: LJ7KIKJTFZBWQQ4K · pith_short_8: LJ7KIKJT

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/LJ7KIKJTFZBWQQ4KWSBPNMGHAM \
  | 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: 5a7ea429332e4368438ab482f6b0c70306fff56dc2fa01da5f1a0157e3f296e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "693f54c2e175453f116d4394b2200bb575c89fcf8273569b80f6a4842db7bee8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-01-15T12:22:31Z",
    "title_canon_sha256": "81baf4c5e9c4fd789c607ee3967f928b4951eaa08818c8bb8cfb12ff437c113b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.06082",
    "kind": "arxiv",
    "version": 2
  }
}