Pith Number

pith:TZ2FR4X4

pith:2016:TZ2FR4X4WAZJR5R2CP23OOILND

not attested not anchored not stored refs pending

Symmetric Sums of Squares over $k$-Subset Hypercubes

Annie Raymond, James Saunderson, Mohit Singh, Rekha R. Thomas

arxiv:1606.05639 v2 · 2016-06-17 · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZ2FR4X4WAZJR5R2CP23OOILND}

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	2026-05-18T01:09:41.386892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e7458f2fcb03298f63a13f5b7390b68d8184c19b1d2d1faf276b0cb0cd74825

Aliases

arxiv: 1606.05639 · arxiv_version: 1606.05639v2 · doi: 10.48550/arxiv.1606.05639 · pith_short_12: TZ2FR4X4WAZJ · pith_short_16: TZ2FR4X4WAZJR5R2 · pith_short_8: TZ2FR4X4

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/TZ2FR4X4WAZJR5R2CP23OOILND \
  | 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: 9e7458f2fcb03298f63a13f5b7390b68d8184c19b1d2d1faf276b0cb0cd74825

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33e25f23e8ae22fa3df6d50af88735652865f85679dcb3fbe37725ad3bc73a01",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-17T19:50:02Z",
    "title_canon_sha256": "946db3d24973c0c178e5a100b7840e25394875684628c6c3497a20d4a19efe73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05639",
    "kind": "arxiv",
    "version": 2
  }
}