Pith Number

pith:FS2BCTBN

pith:2017:FS2BCTBNEQTYRBI4CDVGNK7VBN

not attested not anchored not stored refs pending

Vandermonde determinantal ideals

Junzo Watanabe, Kohji Yanagawa

arxiv:1712.04262 v3 · 2017-12-12 · 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{FS2BCTBNEQTYRBI4CDVGNK7VBN}

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	2026-05-18T00:15:46.842165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cb4114c2d242788851c10ea66abf50b4c347448b7a923262d402749dc3cc280

Aliases

arxiv: 1712.04262 · arxiv_version: 1712.04262v3 · doi: 10.48550/arxiv.1712.04262 · pith_short_12: FS2BCTBNEQTY · pith_short_16: FS2BCTBNEQTYRBI4 · pith_short_8: FS2BCTBN

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/FS2BCTBNEQTYRBI4CDVGNK7VBN \
  | 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: 2cb4114c2d242788851c10ea66abf50b4c347448b7a923262d402749dc3cc280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbd88e5c904d9a49942e24acb3c38bc2e04fdb5700324909626e3af7a167fa46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-12-12T12:28:08Z",
    "title_canon_sha256": "93522023223301e8f2ed6c8143500c2f8bca2f10fa5d7dd8c8733371a0698e6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04262",
    "kind": "arxiv",
    "version": 3
  }
}