Pith Number

pith:TQSG5XYG

pith:2023:TQSG5XYGHUTZUGAFTI4JJQZUMT

not attested not anchored not stored refs pending

The BPHZ Theorem for Regularity Structures via the Spectral Gap Inequality

Martin Hairer, Rhys Steele

arxiv:2301.10081 v3 · 2023-01-24 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQSG5XYGHUTZUGAFTI4JJQZUMT}

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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

Stochastic estimates for the thin-film equation with thermal noise

Receipt and verification

First computed	2026-07-05T06:58:07.845694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c246edf063d279a18059a3894c33464f8036b91d6e8b3ca2adb9d5e86e8e973

Aliases

arxiv: 2301.10081 · arxiv_version: 2301.10081v3 · doi: 10.48550/arxiv.2301.10081 · pith_short_12: TQSG5XYGHUTZ · pith_short_16: TQSG5XYGHUTZUGAF · pith_short_8: TQSG5XYG

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/TQSG5XYGHUTZUGAFTI4JJQZUMT \
  | 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: 9c246edf063d279a18059a3894c33464f8036b91d6e8b3ca2adb9d5e86e8e973

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce9f9bafb84c1d0261fe55447b8d059e5e6ec524548c68839e3779db625658c5",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-01-24T15:35:18Z",
    "title_canon_sha256": "d7b07aaf2efc958b2981f0a76fc395362ac0b98df06b974cfb89728642a4e27c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.10081",
    "kind": "arxiv",
    "version": 3
  }
}