Pith Number

pith:ZQEEQ77Z

pith:2015:ZQEEQ77ZG6KR27ZVHNR4NEQJ7Y

not attested not anchored not stored refs pending

On Symmetries of the Feinberg-Zee Random Hopping Matrix

Raffael Hagger, Simon N. Chandler-Wilde

arxiv:1509.00791 v6 · 2015-09-02 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQEEQ77ZG6KR27ZVHNR4NEQJ7Y}

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	2026-05-18T00:56:31.611909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc08487ff937951d7f353b63c69209fe0c3a8bafc28b476255229c8acd2160c7

Aliases

arxiv: 1509.00791 · arxiv_version: 1509.00791v6 · doi: 10.48550/arxiv.1509.00791 · pith_short_12: ZQEEQ77ZG6KR · pith_short_16: ZQEEQ77ZG6KR27ZV · pith_short_8: ZQEEQ77Z

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/ZQEEQ77ZG6KR27ZVHNR4NEQJ7Y \
  | 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: cc08487ff937951d7f353b63c69209fe0c3a8bafc28b476255229c8acd2160c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dc4277afb9329753e4669a9de4950b106565d9d20e659a5ddcf55e818aa40db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-09-02T17:15:52Z",
    "title_canon_sha256": "337f13f08c755eb02b4c12d962b9ea825d96ac008d0b96341386dcb5db536e86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00791",
    "kind": "arxiv",
    "version": 6
  }
}