Pith Number

pith:XL5CZMND

pith:2017:XL5CZMNDKFROPGHAYV7AWJFK5B

not attested not anchored not stored refs pending

Graph rigidity for unitarily invariant matrix norms

Derek Kitson, Rupert H. Levene

arxiv:1709.08967 v1 · 2017-09-26 · math.MG · math.CO · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XL5CZMNDKFROPGHAYV7AWJFK5B}

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	2026-05-18T00:34:21.433114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bafa2cb1a35162e798e0c57e0b24aae86e2da99481984300a9b087a57bcf8b63

Aliases

arxiv: 1709.08967 · arxiv_version: 1709.08967v1 · doi: 10.48550/arxiv.1709.08967 · pith_short_12: XL5CZMNDKFRO · pith_short_16: XL5CZMNDKFROPGHA · pith_short_8: XL5CZMND

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/XL5CZMNDKFROPGHAYV7AWJFK5B \
  | 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: bafa2cb1a35162e798e0c57e0b24aae86e2da99481984300a9b087a57bcf8b63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2964c9d9b9114fc5a71932debe12904be392c0486fead0aea527986d5b03e553",
    "cross_cats_sorted": [
      "math.CO",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-09-26T12:22:49Z",
    "title_canon_sha256": "e66cad44e30835b2f480c6ab961208c7bd12691906d470e61b6bf4e91bb7b632"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08967",
    "kind": "arxiv",
    "version": 1
  }
}