Pith Number

pith:EB2MSFXL

pith:2024:EB2MSFXLETKTSQS2RZTMTA3EP6

not attested not anchored not stored refs pending

Harper's beyond square-root conjecture

Max Wenqiang Xu, Victor Y. Wang

arxiv:2405.04094 v2 · 2024-05-07 · math.NT · 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{EB2MSFXLETKTSQS2RZTMTA3EP6}

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	2026-07-05T12:11:12.819566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2074c916eb24d539425a8e66c983647fb6ad9e30e4775c43911d56cb971608ac

Aliases

arxiv: 2405.04094 · arxiv_version: 2405.04094v2 · doi: 10.48550/arxiv.2405.04094 · pith_short_12: EB2MSFXLETKT · pith_short_16: EB2MSFXLETKTSQS2 · pith_short_8: EB2MSFXL

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/EB2MSFXLETKTSQS2RZTMTA3EP6 \
  | 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: 2074c916eb24d539425a8e66c983647fb6ad9e30e4775c43911d56cb971608ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c461b1dc7299e3aa094a313d31d98701d82877af81e1e78f0958203a45d642f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-05-07T07:54:32Z",
    "title_canon_sha256": "959a73dcf08babaa063b1a6a9777c523b5aea6ee2f3444a8aac73f364cc9e3b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.04094",
    "kind": "arxiv",
    "version": 2
  }
}