Pith Number

pith:GG5UUPNE

pith:2017:GG5UUPNEHSNRYBW4S3DBBOWFJO

not attested not anchored not stored refs pending

Numerical Range and Quadratic Numerical Range for Damped Systems

Birgit Jacob, Carsten Trunk, Christiane Tretter, Hendrik Vogt

arxiv:1703.07447 v1 · 2017-03-21 · 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{GG5UUPNEHSNRYBW4S3DBBOWFJO}

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	2026-05-18T00:48:08.776483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31bb4a3da43c9b1c06dc96c610bac54b9256fb4b4a80d70d6107fef8d69edd3f

Aliases

arxiv: 1703.07447 · arxiv_version: 1703.07447v1 · doi: 10.48550/arxiv.1703.07447 · pith_short_12: GG5UUPNEHSNR · pith_short_16: GG5UUPNEHSNRYBW4 · pith_short_8: GG5UUPNE

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/GG5UUPNEHSNRYBW4S3DBBOWFJO \
  | 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: 31bb4a3da43c9b1c06dc96c610bac54b9256fb4b4a80d70d6107fef8d69edd3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "388a19ed8d5573ab95e9aed316098f57d4126f88177c1a087b450c3f437fb286",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-03-21T21:55:41Z",
    "title_canon_sha256": "35b28e3b0301da1f1d5d5f5c59abe0645c95425f3609042ac7604e56940b9d88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07447",
    "kind": "arxiv",
    "version": 1
  }
}