Pith Number

pith:XAHGAGQ6

pith:2012:XAHGAGQ6L3Z2HYVVU2B73LM65B

not attested not anchored not stored refs pending

On the sum of normal matrices

Minghua Lin

arxiv:1202.1207 v4 · 2012-02-06 · 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{XAHGAGQ6L3Z2HYVVU2B73LM65B}

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	2026-05-18T03:46:47.369818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b80e601a1e5ef3a3e2b5a683fdad9ee84a4ca337851d406c5ff7f88bab36dbd6

Aliases

arxiv: 1202.1207 · arxiv_version: 1202.1207v4 · doi: 10.48550/arxiv.1202.1207 · pith_short_12: XAHGAGQ6L3Z2 · pith_short_16: XAHGAGQ6L3Z2HYVV · pith_short_8: XAHGAGQ6

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/XAHGAGQ6L3Z2HYVVU2B73LM65B \
  | 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: b80e601a1e5ef3a3e2b5a683fdad9ee84a4ca337851d406c5ff7f88bab36dbd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca26a6d17bf69b5abbde86181219b4c3f8bfff0b84534120510f28bf0e323ca1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-02-06T17:06:29Z",
    "title_canon_sha256": "733e76c62c75f504e4bcb10e9a7dd3cbca5f773ca23ce59ecaba74aef046b865"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1207",
    "kind": "arxiv",
    "version": 4
  }
}