Pith Number

pith:RIFVJQ7P

pith:2012:RIFVJQ7PZQIYO2OKKQEOAGXWOK

not attested not anchored not stored refs pending

Generalization of Mirsky's theorem on diagonals and eigenvalues of matrices

Dragomir Z. Djokovic

arxiv:1206.3744 v1 · 2012-06-17 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RIFVJQ7PZQIYO2OKKQEOAGXWOK}

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	2026-05-18T03:36:04.483596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a0b54c3efcc118769ca5408e01af67282ccd543bd16957ef72c6126b440ce19

Aliases

arxiv: 1206.3744 · arxiv_version: 1206.3744v1 · doi: 10.48550/arxiv.1206.3744 · pith_short_12: RIFVJQ7PZQIY · pith_short_16: RIFVJQ7PZQIYO2OK · pith_short_8: RIFVJQ7P

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/RIFVJQ7PZQIYO2OKKQEOAGXWOK \
  | 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: 8a0b54c3efcc118769ca5408e01af67282ccd543bd16957ef72c6126b440ce19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eb50e351f408ae96cfabf1cf41dd88dfb463459613ae2460c9a053093a4bef9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-06-17T11:44:33Z",
    "title_canon_sha256": "88400e611394f50eb96e8fe03fff1138e3646471e1acb1ddd69bb05b90bb93ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3744",
    "kind": "arxiv",
    "version": 1
  }
}