Pith Number

pith:XUP7XY3W

pith:2017:XUP7XY3WSPVYBELXJTSRHF7KQ2

not attested not anchored not stored refs pending

Domination of quadratic forms

Daniel Lenz, Marcel Schmidt, Melchior Wirth

arxiv:1711.07225 v1 · 2017-11-20 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XUP7XY3WSPVYBELXJTSRHF7KQ2}

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	2026-05-18T00:30:10.822533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd1ffbe37693eb8091774ce51397ea86b4f128df637060e16d68986b014995e8

Aliases

arxiv: 1711.07225 · arxiv_version: 1711.07225v1 · doi: 10.48550/arxiv.1711.07225 · pith_short_12: XUP7XY3WSPVY · pith_short_16: XUP7XY3WSPVYBELX · pith_short_8: XUP7XY3W

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/XUP7XY3WSPVYBELXJTSRHF7KQ2 \
  | 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: bd1ffbe37693eb8091774ce51397ea86b4f128df637060e16d68986b014995e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29a53ff621c2c22e66814f009e9d015b1a7f7c2292bb37bf3b1b38c57f5c6009",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-11-20T09:41:01Z",
    "title_canon_sha256": "c96b2ac433a8c6e88c4b43c059dc035d9214a5a0ac412e7e7a8949852fa937a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07225",
    "kind": "arxiv",
    "version": 1
  }
}