Pith Number

pith:53BRZBDT

pith:2017:53BRZBDT6HOQZXKEBQYUK4PJ7I

not attested not anchored not stored refs pending

Central limit theorems for the real zeros of Weyl polynomials

Van Vu, Yen Do

arxiv:1707.09276 v2 · 2017-07-28 · 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{53BRZBDT6HOQZXKEBQYUK4PJ7I}

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	2026-05-18T00:39:06.294480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eec31c8473f1dd0cdd440c314571e9fa127eddbcbaf44bcd888b26ba51b51d62

Aliases

arxiv: 1707.09276 · arxiv_version: 1707.09276v2 · doi: 10.48550/arxiv.1707.09276 · pith_short_12: 53BRZBDT6HOQ · pith_short_16: 53BRZBDT6HOQZXKE · pith_short_8: 53BRZBDT

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/53BRZBDT6HOQZXKEBQYUK4PJ7I \
  | 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: eec31c8473f1dd0cdd440c314571e9fa127eddbcbaf44bcd888b26ba51b51d62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fa2cb4e65a43a09d186cfe2e9d33e8c1fda6483dd4cc5e37a9b19e9b2224def",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-28T15:18:04Z",
    "title_canon_sha256": "8d73cc778bc7d288214c0758871ce71a4da86c96eaf10f2e65615628391ace8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09276",
    "kind": "arxiv",
    "version": 2
  }
}