Pith Number

pith:XHSLDZLG

pith:2014:XHSLDZLG5K6C2MN7OXSU2TXW2H

not attested not anchored not stored refs pending

A variant of Weyl's inequality for systems of forms and applications

Damaris Schindler

arxiv:1403.7156 v1 · 2014-03-27 · 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{XHSLDZLG5K6C2MN7OXSU2TXW2H}

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	2026-05-18T02:55:26.377415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9e4b1e566eabc2d31bf75e54d4ef6d1c40133b9d7d2c6c98c25bc97c3c6b286

Aliases

arxiv: 1403.7156 · arxiv_version: 1403.7156v1 · doi: 10.48550/arxiv.1403.7156 · pith_short_12: XHSLDZLG5K6C · pith_short_16: XHSLDZLG5K6C2MN7 · pith_short_8: XHSLDZLG

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/XHSLDZLG5K6C2MN7OXSU2TXW2H \
  | 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: b9e4b1e566eabc2d31bf75e54d4ef6d1c40133b9d7d2c6c98c25bc97c3c6b286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce3978249abd5d2acc9dcef2406e3ab87c3b507f60478ef3ca5b11f1cdb74309",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-03-27T18:08:16Z",
    "title_canon_sha256": "31b2a3092941f4593635c69a9d70c54dc5473d9a9ed05d837e34ab573bd9aaa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7156",
    "kind": "arxiv",
    "version": 1
  }
}