Pith Number

pith:6RGOMJIA

pith:2018:6RGOMJIAIYXNVTGQRTDX6T3N4K

not attested not anchored not stored refs pending

Limit theorems for process-level Betti numbers for sparse, critical, and Poisson regimes

Andrew Thomas, Takashi Owada

arxiv:1809.05758 v1 · 2018-09-15 · 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{6RGOMJIAIYXNVTGQRTDX6T3N4K}

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	2026-05-18T00:05:36.602168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f44ce62500462edaccd08cc77f4f6de297a829b9f40a760956a4cdd4963dc790

Aliases

arxiv: 1809.05758 · arxiv_version: 1809.05758v1 · doi: 10.48550/arxiv.1809.05758 · pith_short_12: 6RGOMJIAIYXN · pith_short_16: 6RGOMJIAIYXNVTGQ · pith_short_8: 6RGOMJIA

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/6RGOMJIAIYXNVTGQRTDX6T3N4K \
  | 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: f44ce62500462edaccd08cc77f4f6de297a829b9f40a760956a4cdd4963dc790

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d51fc1d4749ac04b51e5ad8a7c63aad1181c66f9da009edff42cb75b58ce399",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-15T19:16:57Z",
    "title_canon_sha256": "251a94023e06ef6ba39ebc6662d0d3f5f2c994e1502b397708ca1032d9dde24f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05758",
    "kind": "arxiv",
    "version": 1
  }
}