Pith Number

pith:ABOCQF77

pith:2025:ABOCQF77CFBFH7V4AB3WGQ7DJX

not attested not anchored not stored refs pending

Sharp Phase Transitions in Estimation with Low-Degree Polynomials

Alexander S. Wein, Youngtak Sohn

arxiv:2502.14407 v3 · 2025-02-20 · math.ST · cs.CC · cs.DS · math.PR · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABOCQF77CFBFH7V4AB3WGQ7DJX}

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	2026-05-17T23:39:01.495510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

005c2817ff114253febc00776343e34dd6a47a02c64712b90aa5ecfce2c83365

Aliases

arxiv: 2502.14407 · arxiv_version: 2502.14407v3 · doi: 10.48550/arxiv.2502.14407 · pith_short_12: ABOCQF77CFBF · pith_short_16: ABOCQF77CFBFH7V4 · pith_short_8: ABOCQF77

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/ABOCQF77CFBFH7V4AB3WGQ7DJX \
  | 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: 005c2817ff114253febc00776343e34dd6a47a02c64712b90aa5ecfce2c83365

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e2d1b735964da21e35b19d85e6827b60b8af8d48f04016c0269b29e4701eda2",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DS",
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-02-20T09:48:26Z",
    "title_canon_sha256": "f07103fec0caff5427cfd9d7281c2e41e5801bfd6866b97f5e9f9fe1310d5912"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.14407",
    "kind": "arxiv",
    "version": 3
  }
}