Pith Number

pith:7LJPI7VJ

pith:2018:7LJPI7VJY3NYOYIW4LNV2TTGRU

not attested not anchored not stored refs pending

Extreme points of Gram spectrahedra of binary forms

Claus Scheiderer

arxiv:1802.05513 v3 · 2018-02-15 · math.OC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7LJPI7VJY3NYOYIW4LNV2TTGRU}

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	2026-05-17T23:53:51.657913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fad2f47ea9c6db876116e2db5d4e668d29e89e1e92a7eed214eb6584a415ac4b

Aliases

arxiv: 1802.05513 · arxiv_version: 1802.05513v3 · doi: 10.48550/arxiv.1802.05513 · pith_short_12: 7LJPI7VJY3NY · pith_short_16: 7LJPI7VJY3NYOYIW · pith_short_8: 7LJPI7VJ

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/7LJPI7VJY3NYOYIW4LNV2TTGRU \
  | 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: fad2f47ea9c6db876116e2db5d4e668d29e89e1e92a7eed214eb6584a415ac4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fcf72ab2d0ea4af509dcadd2f4bf897cf478aacc497cc58938cc9ff0dbca4ca",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-02-15T12:54:57Z",
    "title_canon_sha256": "b5edda71cbd1890ee8ba090c65deccc4813a99e36de549569dfa7390fd7df833"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.05513",
    "kind": "arxiv",
    "version": 3
  }
}