Pith Number

pith:4IGN2WRO

pith:2019:4IGN2WRO2F2XBDHDTATKDCOIOM

not attested not anchored not stored refs pending

Apolarity, border rank and multigraded Hilbert scheme

Jaros{\l}aw Buczy\'nski, Weronika Buczy\'nska

arxiv:1910.01944 v2 · 2019-10-04 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4IGN2WRO2F2XBDHDTATKDCOIOM}

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.

Cited by

1 paper in Pith

A bound for the Waring rank of the determinant via syzygies

Receipt and verification

First computed	2026-07-05T01:49:47.945269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e20cdd5a2ed175708ce39826a189c8730247d1c79c4aa0b46044b88444782bcf

Aliases

arxiv: 1910.01944 · arxiv_version: 1910.01944v2 · doi: 10.48550/arxiv.1910.01944 · pith_short_12: 4IGN2WRO2F2X · pith_short_16: 4IGN2WRO2F2XBDHD · pith_short_8: 4IGN2WRO

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/4IGN2WRO2F2XBDHDTATKDCOIOM \
  | 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: e20cdd5a2ed175708ce39826a189c8730247d1c79c4aa0b46044b88444782bcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c59cb31889c242de6d3c7cbdcad78cdc9dd8c35cb57ffe3e1cb799275968084a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-10-04T13:22:33Z",
    "title_canon_sha256": "9a49cf95c43ffe28e04022ab46539fcb4bdd55d4efdead065b2f49a8354ddcf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.01944",
    "kind": "arxiv",
    "version": 2
  }
}