Pith Number

pith:ILP7NJA7

pith:2016:ILP7NJA77WNQTPFVNSLESZURU4

not attested not anchored not stored refs pending

Multivariate CLT follows from strong Rayleigh property

Robin Pemantle, Subhroshekhar Ghosh, Thomas M. Liggett

arxiv:1607.03036 v1 · 2016-07-11 · math.PR

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILP7NJA77WNQTPFVNSLESZURU4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:11:14.108479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42dff6a41ffd9b09bcb56c96496691a70b3dadc19dbb5903cbc4940642a667c5

Aliases

arxiv: 1607.03036 · arxiv_version: 1607.03036v1 · doi: 10.48550/arxiv.1607.03036 · pith_short_12: ILP7NJA77WNQ · pith_short_16: ILP7NJA77WNQTPFV · pith_short_8: ILP7NJA7

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/ILP7NJA77WNQTPFVNSLESZURU4 \
  | 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: 42dff6a41ffd9b09bcb56c96496691a70b3dadc19dbb5903cbc4940642a667c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "860ebbc66c2396950811aef4f66f1a3177736be2cfe149cea0ae8059027192d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-11T17:03:37Z",
    "title_canon_sha256": "22e972cdc55a7d4532fb44259fc70b91698ee30fbf92f36bd9ff38bfbe684b8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03036",
    "kind": "arxiv",
    "version": 1
  }
}