Pith Number

pith:LU67OLWY

pith:2013:LU67OLWY54BCNY6XQJNILX3ZWE

not attested not anchored not stored refs pending

Local universality of zeroes of random polynomials

Terence Tao, Van Vu

arxiv:1307.4357 v3 · 2013-07-16 · 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{LU67OLWY54BCNY6XQJNILX3ZWE}

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	2026-05-18T02:52:56.071335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d3df72ed8ef0226e3d7825a85df79b1139f5140152ad1da30aebea06cf62d9f

Aliases

arxiv: 1307.4357 · arxiv_version: 1307.4357v3 · doi: 10.48550/arxiv.1307.4357 · pith_short_12: LU67OLWY54BC · pith_short_16: LU67OLWY54BCNY6X · pith_short_8: LU67OLWY

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/LU67OLWY54BCNY6XQJNILX3ZWE \
  | 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: 5d3df72ed8ef0226e3d7825a85df79b1139f5140152ad1da30aebea06cf62d9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a85a9c44f97e9e1e20e3676de292d31dad358fd139d921b291156924f375c561",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-16T17:48:19Z",
    "title_canon_sha256": "de17924b9e4af9b974a1979eb8f7fcdf443308f8e8bcad9589de2166a24be3e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4357",
    "kind": "arxiv",
    "version": 3
  }
}