Pith Number

pith:2JBQUHL4

pith:2015:2JBQUHL4M6X2TP6VNYDI2GJIKW

not attested not anchored not stored refs pending

Quadratic and Symmetric Bilinear Forms on Modules with Unique Base Over a Semiring

Louis Rowen, Manfred Knebusch, Zur Izhakian

arxiv:1509.01039 v1 · 2015-09-03 · math.RA · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2JBQUHL4M6X2TP6VNYDI2GJIKW}

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	2026-05-18T01:34:04.457858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2430a1d7c67afa9bfd56e068d1928558b7453ca45cb0f812dd249fdb899e046

Aliases

arxiv: 1509.01039 · arxiv_version: 1509.01039v1 · doi: 10.48550/arxiv.1509.01039 · pith_short_12: 2JBQUHL4M6X2 · pith_short_16: 2JBQUHL4M6X2TP6V · pith_short_8: 2JBQUHL4

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/2JBQUHL4M6X2TP6VNYDI2GJIKW \
  | 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: d2430a1d7c67afa9bfd56e068d1928558b7453ca45cb0f812dd249fdb899e046

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b9a299a97343b58b172b9a7ce9b302823fb98216844cb418c0720519349202a",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-09-03T11:32:51Z",
    "title_canon_sha256": "10ea8beb883767352eb5d59b8ea5a86444e983ad5eb4b9b8c58f8353c04edd4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01039",
    "kind": "arxiv",
    "version": 1
  }
}