Pith Number

pith:YIVICS6Q

pith:2011:YIVICS6QKVZOFEKHWDZMURMVRI

not attested not anchored not stored refs pending

The Structure of Masses of rank $n$ Quadratic Lattices of varying determinant over number fields

Jonathan Hanke

arxiv:1108.3580 v2 · 2011-08-17 · 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{YIVICS6QKVZOFEKHWDZMURMVRI}

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	2026-05-18T04:12:11.517046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c22a814bd05572e29147b0f2ca45958a38a31467f12ac8113c5b2525b894074a

Aliases

arxiv: 1108.3580 · arxiv_version: 1108.3580v2 · doi: 10.48550/arxiv.1108.3580 · pith_short_12: YIVICS6QKVZO · pith_short_16: YIVICS6QKVZOFEKH · pith_short_8: YIVICS6Q

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/YIVICS6QKVZOFEKHWDZMURMVRI \
  | 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: c22a814bd05572e29147b0f2ca45958a38a31467f12ac8113c5b2525b894074a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffb312e49a499f9918070d7311266d744086c7255d23691d609736f6163642bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-17T21:15:41Z",
    "title_canon_sha256": "97cdd7113f32cf37fb4023e249f45315b352bc0221fbe850373817d3c590d25a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3580",
    "kind": "arxiv",
    "version": 2
  }
}