Pith Number

pith:GTO25LXF

pith:2022:GTO25LXFOJXWKJAHZHUP4VWMEP

not attested not anchored not stored refs pending

A polynomial with a root mod $p$ for every $p$ has a real root

Max Wenqiang Xu, Rodrigo Angelo

arxiv:2210.13735 v2 · 2022-10-25 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GTO25LXFOJXWKJAHZHUP4VWMEP}

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	2026-07-05T08:34:53.664172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34ddaeaee5726f652407c9e8fe56cc23fd031ff35209b0c8b11433d5e0004282

Aliases

arxiv: 2210.13735 · arxiv_version: 2210.13735v2 · doi: 10.48550/arxiv.2210.13735 · pith_short_12: GTO25LXFOJXW · pith_short_16: GTO25LXFOJXWKJAH · pith_short_8: GTO25LXF

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/GTO25LXFOJXWKJAHZHUP4VWMEP \
  | 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: 34ddaeaee5726f652407c9e8fe56cc23fd031ff35209b0c8b11433d5e0004282

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dbb3c68fd9200aec725119f9f62db5673f9690583bb92aa4271d377979526a4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-10-25T03:04:56Z",
    "title_canon_sha256": "6aa23585223ead48f9172b834fb389c76e4703eed138c55704a792facdde86d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.13735",
    "kind": "arxiv",
    "version": 2
  }
}