Pith Number

pith:WPHOHCPG

pith:2017:WPHOHCPGWA3L75HF7337TTO2ET

not attested not anchored not stored refs pending

A variant of the Lov\'asz-Theta number based on projection matrices

Francesco Silvestri

arxiv:1708.06563 v1 · 2017-08-22 · 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{WPHOHCPGWA3L75HF7337TTO2ET}

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	2026-05-18T00:37:33.149167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3cee389e6b036bff4e5fef7f9cdda24d3c77a891297d0226008ba5eb6f10f13

Aliases

arxiv: 1708.06563 · arxiv_version: 1708.06563v1 · doi: 10.48550/arxiv.1708.06563 · pith_short_12: WPHOHCPGWA3L · pith_short_16: WPHOHCPGWA3L75HF · pith_short_8: WPHOHCPG

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/WPHOHCPGWA3L75HF7337TTO2ET \
  | 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: b3cee389e6b036bff4e5fef7f9cdda24d3c77a891297d0226008ba5eb6f10f13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aaa84fc80f79c2fc26d53b1c221b822bedf5d20fbfb07623c013eb9618a5e8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-08-22T11:25:56Z",
    "title_canon_sha256": "f5c87aaa6720cb6a06764445b3197d5b63e4eec8339a5b8b49555d42f352ba9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06563",
    "kind": "arxiv",
    "version": 1
  }
}