Pith Number

pith:DI332KHZ

pith:2010:DI332KHZFA6S3RCDG73SWEPZ57

not attested not anchored not stored refs pending

The numerical measure of a complex matrix

Denis Serre, Thierry Gallay

arxiv:1009.1522 v1 · 2010-09-08 · math.FA · math.PR · 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{DI332KHZFA6S3RCDG73SWEPZ57}

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	2026-05-18T04:41:14.592653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a37bd28f9283d2dc44337f72b11f9efdf29fbb26f0a1cc150e283820fcee93e

Aliases

arxiv: 1009.1522 · arxiv_version: 1009.1522v1 · doi: 10.48550/arxiv.1009.1522 · pith_short_12: DI332KHZFA6S · pith_short_16: DI332KHZFA6S3RCD · pith_short_8: DI332KHZ

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/DI332KHZFA6S3RCDG73SWEPZ57 \
  | 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: 1a37bd28f9283d2dc44337f72b11f9efdf29fbb26f0a1cc150e283820fcee93e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cfbd82669d0503d1c50b4fde9bd387a11ee1967b5b1d510ba72ef9d29067707",
    "cross_cats_sorted": [
      "math.PR",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-09-08T13:10:04Z",
    "title_canon_sha256": "31a435736b78cfae4ffd2478a24aa6d46e9cdbec0f716395dcca280bd4625739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1522",
    "kind": "arxiv",
    "version": 1
  }
}