Pith Number

pith:AUFGJULD

pith:2012:AUFGJULDQIQPH2SYOZZP732KAY

not attested not anchored not stored refs pending

Dual Spaces and Bilinear Forms in Supertropical Linear Algebra

Louis Rowen, Manfred Knebusch, Zur Izhakian

arxiv:1201.6481 v1 · 2012-01-31 · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUFGJULDQIQPH2SYOZZP732KAY}

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	2026-05-18T04:03:31.406366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

050a64d1638220f3ea587672ffef4a06212d595135713620355a9c391a5d5eff

Aliases

arxiv: 1201.6481 · arxiv_version: 1201.6481v1 · doi: 10.48550/arxiv.1201.6481 · pith_short_12: AUFGJULDQIQP · pith_short_16: AUFGJULDQIQPH2SY · pith_short_8: AUFGJULD

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/AUFGJULDQIQPH2SYOZZP732KAY \
  | 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: 050a64d1638220f3ea587672ffef4a06212d595135713620355a9c391a5d5eff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b407c249b92eb98c0ce06158714115de3824cb156d469b7f7fecd24c332e728",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-01-31T09:11:48Z",
    "title_canon_sha256": "44bc302e7b39ad77120597fbdfaf671b783ad39c3266cd767edf0484b4e1a288"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6481",
    "kind": "arxiv",
    "version": 1
  }
}