Pith Number

pith:DREXYCXC

pith:2016:DREXYCXCQBYRA6XAKBWVWI4E6C

not attested not anchored not stored refs pending

A necessary condition for certain functions to preserve positive semi-definiteness on partitioned matrices

Conrad M\"adler, Lutz Klotz

arxiv:1612.03660 v1 · 2016-12-12 · 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{DREXYCXCQBYRA6XAKBWVWI4E6C}

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	2026-05-18T00:55:18.638707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c497c0ae28071107ae0506d5b2384f08357421aa9e55ccbb18658cabe8b2933

Aliases

arxiv: 1612.03660 · arxiv_version: 1612.03660v1 · doi: 10.48550/arxiv.1612.03660 · pith_short_12: DREXYCXCQBYR · pith_short_16: DREXYCXCQBYRA6XA · pith_short_8: DREXYCXC

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/DREXYCXCQBYRA6XAKBWVWI4E6C \
  | 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: 1c497c0ae28071107ae0506d5b2384f08357421aa9e55ccbb18658cabe8b2933

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d4301447b0ffa54725ed98e2710682e790559c8619e59b9b7a9013ad3f1f0d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-12T13:10:09Z",
    "title_canon_sha256": "660e8491409c33018cafa01b4103d68a345726187e090c0d069d41db6cef4c2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03660",
    "kind": "arxiv",
    "version": 1
  }
}