Pith Number

pith:QZVOI2KF

pith:2016:QZVOI2KF7A76INCI4K6SLI364O

not attested not anchored not stored refs pending

Non-archimedean valuations of eigenvalues of matrix polynomials

Marianne Akian, Ravindra Bapat, St\'ephane Gaubert

arxiv:1601.00438 v1 · 2016-01-04 · 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{QZVOI2KF7A76INCI4K6SLI364O}

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	2026-05-18T00:50:06.963383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

866ae46945f83fe43448e2bd25a37ee3b31f6224566f564e8d56654db4c0963d

Aliases

arxiv: 1601.00438 · arxiv_version: 1601.00438v1 · doi: 10.48550/arxiv.1601.00438 · pith_short_12: QZVOI2KF7A76 · pith_short_16: QZVOI2KF7A76INCI · pith_short_8: QZVOI2KF

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/QZVOI2KF7A76INCI4K6SLI364O \
  | 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: 866ae46945f83fe43448e2bd25a37ee3b31f6224566f564e8d56654db4c0963d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecd05eb93438eebf80792aebba51014c396c6d35efffce9135937a9ee5d5e67d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-01-04T10:21:46Z",
    "title_canon_sha256": "f4eee595b67748c5638b676647791a570b9059a57026467e8081828fd46f051b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00438",
    "kind": "arxiv",
    "version": 1
  }
}