Pith Number

pith:DDXH6QLC

pith:2015:DDXH6QLC36SJ6KTFRWLSMOU4AE

not attested not anchored not stored refs pending

The analogue of Hilbert's 1888 theorem for Even Symmetric Forms

Bruce Reznick, Charu Goel, Salma Kuhlmann

arxiv:1509.07482 v2 · 2015-09-24 · 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{DDXH6QLC36SJ6KTFRWLSMOU4AE}

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	2026-05-18T01:00:40.367428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18ee7f4162dfa49f2a658d97263a9c011e3bc77da98cc82661a0ebc5730c1ed1

Aliases

arxiv: 1509.07482 · arxiv_version: 1509.07482v2 · doi: 10.48550/arxiv.1509.07482 · pith_short_12: DDXH6QLC36SJ · pith_short_16: DDXH6QLC36SJ6KTF · pith_short_8: DDXH6QLC

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/DDXH6QLC36SJ6KTFRWLSMOU4AE \
  | 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: 18ee7f4162dfa49f2a658d97263a9c011e3bc77da98cc82661a0ebc5730c1ed1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f211d86790142e96183ad9326fe3500c1f11d0666f9f7533eac81d01751bf9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-24T19:17:24Z",
    "title_canon_sha256": "43a08b88f7501c19e1c61926a54590914aa0bf012549ae7cbb95e759ec00b5fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07482",
    "kind": "arxiv",
    "version": 2
  }
}