Pith Number

pith:D4VA4PKH

pith:2021:D4VA4PKHWFMFKWEOXBOV7U7S26

not attested not anchored not stored refs pending

Orders and Polytropes: Matrix Algebras from Valuations

Bernd Sturmfels, Gabriele Nebe, Marvin Anas Hahn, Mima Stanojkovski, Yassine El Maazouz

arxiv:2107.00503 v2 · 2021-07-01 · math.CO · 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{D4VA4PKHWFMFKWEOXBOV7U7S26}

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	2026-07-05T03:33:45.523324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f2a0e3d47b15855588eb85d5fd3f2d786b5c94d3ec9f70fb4be7a3273ba7d76

Aliases

arxiv: 2107.00503 · arxiv_version: 2107.00503v2 · doi: 10.48550/arxiv.2107.00503 · pith_short_12: D4VA4PKHWFMF · pith_short_16: D4VA4PKHWFMFKWEO · pith_short_8: D4VA4PKH

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/D4VA4PKHWFMFKWEOXBOV7U7S26 \
  | 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: 1f2a0e3d47b15855588eb85d5fd3f2d786b5c94d3ec9f70fb4be7a3273ba7d76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a828492882690a10668564e2e3cfe7fc90555d85f6f2b8f1bbc5b4fb27e789d8",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-07-01T14:50:31Z",
    "title_canon_sha256": "ec75690a4fe570f2109d65461bd8023e013ec464f1128f4ad146bd684bfdebbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.00503",
    "kind": "arxiv",
    "version": 2
  }
}