Pith Number

pith:UORSLCDA

pith:2026:UORSLCDAIV4SRAK426NRLRPI7Y

not attested not anchored not stored refs pending

Moderate Deviations for Gaussian Maxima and an Entropy Proof of Critical SK Free Energy Fluctuations

Yiming Chen

arxiv:2607.21392 v1 · 2026-07-23 · 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{UORSLCDAIV4SRAK426NRLRPI7Y}

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	2026-07-24T01:24:30.029609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3a3258860457928815cd79b15c5e8fe2d73a00ce6c6cccdbe2b860edbd22cff

Aliases

arxiv: 2607.21392 · arxiv_version: 2607.21392v1 · doi: 10.48550/arxiv.2607.21392 · pith_short_12: UORSLCDAIV4S · pith_short_16: UORSLCDAIV4SRAK4 · pith_short_8: UORSLCDA

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/UORSLCDAIV4SRAK426NRLRPI7Y \
  | 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: a3a3258860457928815cd79b15c5e8fe2d73a00ce6c6cccdbe2b860edbd22cff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50d66ae33601c0a1f42c5cbc259fc62ebc1d1d8d055b8b5a27c58ab732710221",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-23T14:55:06Z",
    "title_canon_sha256": "bc5f0b9817477d6bbcde67c35a6ce92e6c575b001a687387b1a1ee0a98e5874e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21392",
    "kind": "arxiv",
    "version": 1
  }
}