Pith Number

pith:KGXPWTZP

pith:2014:KGXPWTZPEGGVUROK2VLKOFWLUT

not attested not anchored not stored refs pending

Representation Theorems for indefinite quadratic forms without spectral gap

Stephan Schmitz

arxiv:1409.2409 v1 · 2014-09-08 · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KGXPWTZPEGGVUROK2VLKOFWLUT}

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	2026-05-18T01:32:10.786755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51aefb4f2f218d5a45cad556a716cba4ff56bf56d23f26f36802947eac9611b4

Aliases

arxiv: 1409.2409 · arxiv_version: 1409.2409v1 · doi: 10.48550/arxiv.1409.2409 · pith_short_12: KGXPWTZPEGGV · pith_short_16: KGXPWTZPEGGVUROK · pith_short_8: KGXPWTZP

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/KGXPWTZPEGGVUROK2VLKOFWLUT \
  | 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: 51aefb4f2f218d5a45cad556a716cba4ff56bf56d23f26f36802947eac9611b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c96df5ab18231737f8022b5650fb497c1b0dd3f4cbb7bc04754b67ed0474002a",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-09-08T15:57:32Z",
    "title_canon_sha256": "6a6f491512af3bf3a28c87f9555324729418ee49a701c367ded40d0f18eb02d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2409",
    "kind": "arxiv",
    "version": 1
  }
}