Pith Number

pith:FU2HTYY6

pith:2019:FU2HTYY6WZV5XL5DLLWNPTNR56

not attested not anchored not stored refs pending

A bound for the Waring rank of the determinant via syzygies

Mats Boij, Zach Teitler

arxiv:1908.08896 v2 · 2019-08-23 · math.AG · 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{FU2HTYY6WZV5XL5DLLWNPTNR56}

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	2026-07-05T00:17:54.748584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d3479e31eb66bdbafa35aecd7cdb1efad064b85e77ff3a6502aa717dfcc3024

Aliases

arxiv: 1908.08896 · arxiv_version: 1908.08896v2 · doi: 10.48550/arxiv.1908.08896 · pith_short_12: FU2HTYY6WZV5 · pith_short_16: FU2HTYY6WZV5XL5D · pith_short_8: FU2HTYY6

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/FU2HTYY6WZV5XL5DLLWNPTNR56 \
  | 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: 2d3479e31eb66bdbafa35aecd7cdb1efad064b85e77ff3a6502aa717dfcc3024

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc82a4bad69dd11a8e932955355131802e8088c0123879d82eb3efbe7b7b8df0",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-23T16:34:07Z",
    "title_canon_sha256": "5212f3a4756cce9e9099687fe46fe236429307a568634e3cb8d75cbf384e41e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08896",
    "kind": "arxiv",
    "version": 2
  }
}