Pith Number

pith:A5POVJE6

pith:2017:A5POVJE6YQUPSPQM2YX2RXZT4N

not attested not anchored not stored refs pending

Hasse-Minkowski theorem for quadratic forms on groups

Stefan Bara\'nczuk

arxiv:1703.06089 v3 · 2017-03-17 · 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{A5POVJE6YQUPSPQM2YX2RXZT4N}

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	2026-07-05T08:20:05.141559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

075eeaa49ec428f93e0cd62fa8df33e349560eb889d2b63e4c280910cd5eb750

Aliases

arxiv: 1703.06089 · arxiv_version: 1703.06089v3 · doi: 10.48550/arxiv.1703.06089 · pith_short_12: A5POVJE6YQUP · pith_short_16: A5POVJE6YQUPSPQM · pith_short_8: A5POVJE6

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/A5POVJE6YQUPSPQM2YX2RXZT4N \
  | 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: 075eeaa49ec428f93e0cd62fa8df33e349560eb889d2b63e4c280910cd5eb750

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "622fc50ced00372ad7f666602c3d989ad6fa88dbe5ceb0dee29c92978d4d3fdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-17T16:36:09Z",
    "title_canon_sha256": "3e4f5d48c674de6abbfb3c3a7a8345b0adb61114425b94b78cc353e4369a50ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06089",
    "kind": "arxiv",
    "version": 3
  }
}