Pith Number

pith:6D36NFCM

pith:2019:6D36NFCMKKE3E67CT7JB7PR7DP

not attested not anchored not stored refs pending

Invariant synchrony subspaces of sets of matrices

James W. Swift, John M. Neuberger, Nandor Sieben

arxiv:1908.05797 v2 · 2019-08-15 · math.DS · 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{6D36NFCMKKE3E67CT7JB7PR7DP}

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	2026-07-05T00:42:19.962470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0f7e6944c5289b27be29fd21fbe3f1bf1ef44882b4a52ebb0eef981b1ed0fc6

Aliases

arxiv: 1908.05797 · arxiv_version: 1908.05797v2 · doi: 10.48550/arxiv.1908.05797 · pith_short_12: 6D36NFCMKKE3 · pith_short_16: 6D36NFCMKKE3E67C · pith_short_8: 6D36NFCM

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/6D36NFCMKKE3E67CT7JB7PR7DP \
  | 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: f0f7e6944c5289b27be29fd21fbe3f1bf1ef44882b4a52ebb0eef981b1ed0fc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59d6edf90883a2082b38b3c9a4d0d9493c9790c309c8bb1ee36d55c1e8f4f43d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-15T23:47:23Z",
    "title_canon_sha256": "56ce6406ac158aa4eac647b64bd914d0d13aa3ffc45da680ecf2bf0c9cc8f881"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05797",
    "kind": "arxiv",
    "version": 2
  }
}