Pith Number

pith:ZCN6X4PA

pith:2019:ZCN6X4PAP4MR5MUYNE6TPHS3TM

not attested not anchored not stored refs pending

A Linear-algebraic Proof of Hilbert's Ternary Quartic Theorem

Anatolii Grinshpan, Hugo J. Woerdeman

arxiv:1905.04751 v1 · 2019-05-12 · 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{ZCN6X4PAP4MR5MUYNE6TPHS3TM}

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	2026-05-17T23:46:23.657761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c89bebf1e07f191eb298693d379e5b9b07c4e000afa0dc9eac2c5484532f720a

Aliases

arxiv: 1905.04751 · arxiv_version: 1905.04751v1 · doi: 10.48550/arxiv.1905.04751 · pith_short_12: ZCN6X4PAP4MR · pith_short_16: ZCN6X4PAP4MR5MUY · pith_short_8: ZCN6X4PA

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/ZCN6X4PAP4MR5MUYNE6TPHS3TM \
  | 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: c89bebf1e07f191eb298693d379e5b9b07c4e000afa0dc9eac2c5484532f720a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00c499f8864ff3569924cd0ee5579b4ad2587ed010575bb66d9b88d95c1013a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-05-12T17:31:29Z",
    "title_canon_sha256": "d53733583eb332961d40bf0d9b7f543d7d622795f78db7f99e419f9376fe3c59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04751",
    "kind": "arxiv",
    "version": 1
  }
}