Pith Number

pith:5B7EGK4X

pith:2013:5B7EGK4XKABJ7MHV7PNLRXXIMK

not attested not anchored not stored refs pending

On multiple peaks and moderate deviations for supremum of Gaussian field

Alex Zhai, Jian Ding, Ronen Eldan

arxiv:1311.5592 v2 · 2013-11-21 · 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{5B7EGK4XKABJ7MHV7PNLRXXIMK}

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	2026-05-18T03:06:21.269727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e87e432b9750029fb0f5fbdab8dee86281414923bb64f40cf3d97be47094cabe

Aliases

arxiv: 1311.5592 · arxiv_version: 1311.5592v2 · doi: 10.48550/arxiv.1311.5592 · pith_short_12: 5B7EGK4XKABJ · pith_short_16: 5B7EGK4XKABJ7MHV · pith_short_8: 5B7EGK4X

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/5B7EGK4XKABJ7MHV7PNLRXXIMK \
  | 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: e87e432b9750029fb0f5fbdab8dee86281414923bb64f40cf3d97be47094cabe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17ae5a143290361b0809c796473cc9f30d76e2482f23aa9369e6311dc3a2a993",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-21T21:48:15Z",
    "title_canon_sha256": "a17dd8a6ad628ddb856f29f5cfa3a1fefd631be89cde607a4acc08946ac4b100"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5592",
    "kind": "arxiv",
    "version": 2
  }
}