Pith Number

pith:FU4ACTDE

pith:2021:FU4ACTDED6HPYC3H44AUNAQKNZ

not attested not anchored not stored refs pending

The $\Phi_3^4$ measure has sub-Gaussian tails

Martin Hairer, Rhys Steele

arxiv:2102.11685 v2 · 2021-02-23 · 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{FU4ACTDED6HPYC3H44AUNAQKNZ}

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

From path integral quantization to stochastic quantization: a pedestrian's journey

Receipt and verification

First computed	2026-07-05T05:11:17.013910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d38014c641f8efc0b67e70146820a6e67eb980d017ed54fbfb2c11588e8d496

Aliases

arxiv: 2102.11685 · arxiv_version: 2102.11685v2 · doi: 10.48550/arxiv.2102.11685 · pith_short_12: FU4ACTDED6HP · pith_short_16: FU4ACTDED6HPYC3H · pith_short_8: FU4ACTDE

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/FU4ACTDED6HPYC3H44AUNAQKNZ \
  | 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: 2d38014c641f8efc0b67e70146820a6e67eb980d017ed54fbfb2c11588e8d496

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f29f2df2328f08c4ec6c61917034d5c6fa8d1d0920026e22d948033e6869734",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-02-23T13:28:14Z",
    "title_canon_sha256": "395ee6035e93029f039000a39811729fb04547e23728ba4bcd02dcbcc22a352a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.11685",
    "kind": "arxiv",
    "version": 2
  }
}