Pith Number

pith:4RXNVIDG

pith:2018:4RXNVIDGTSWKIKCXMKXPJYDYVO

not attested not anchored not stored refs pending

A note on concentration for polynomials in the Ising model

Bart{\l}omiej Polaczyk, Micha{\l} Kotowski, Micha{\l} Strzelecki, Rados{\l}aw Adamczak

arxiv:1809.03187 v1 · 2018-09-10 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4RXNVIDGTSWKIKCXMKXPJYDYVO}

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	2026-05-17T23:43:17.561142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e46edaa0669caca4285762aef4e078abbc867c0fba8d166b101ec410b7eae2ab

Aliases

arxiv: 1809.03187 · arxiv_version: 1809.03187v1 · doi: 10.48550/arxiv.1809.03187 · pith_short_12: 4RXNVIDGTSWK · pith_short_16: 4RXNVIDGTSWKIKCX · pith_short_8: 4RXNVIDG

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/4RXNVIDGTSWKIKCXMKXPJYDYVO \
  | 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: e46edaa0669caca4285762aef4e078abbc867c0fba8d166b101ec410b7eae2ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78b9b6b9876db09ad38055e888ec0fac0772f43fc78b847f4092e1eb8a093027",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-10T08:53:02Z",
    "title_canon_sha256": "e22b868865a4b358dc1fbb738db60ee0d4d5b0f8cff6314cb8b58b42ea6fd5e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03187",
    "kind": "arxiv",
    "version": 1
  }
}