Pith Number

pith:YSXPCYWE

pith:2021:YSXPCYWEKBTYOKR66QVMNGOIXH

not attested not anchored not stored refs pending

The critical point and the $p$-norm of $A_s$ and $C$-matrices

Javad Mashreghi, Ludovick Bouthat

arxiv:2109.04586 v1 · 2021-09-09 · 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{YSXPCYWEKBTYOKR66QVMNGOIXH}

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	2026-06-23T02:13:11.475527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4aef162c45067872a3ef42ac699c8b9df0359050f8ffdaf02f36b4eaa539863

Aliases

arxiv: 2109.04586 · arxiv_version: 2109.04586v1 · doi: 10.48550/arxiv.2109.04586 · pith_short_12: YSXPCYWEKBTY · pith_short_16: YSXPCYWEKBTYOKR6 · pith_short_8: YSXPCYWE

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/YSXPCYWEKBTYOKR66QVMNGOIXH \
  | 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: c4aef162c45067872a3ef42ac699c8b9df0359050f8ffdaf02f36b4eaa539863

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc7a809e0badb681788f5a1e147b4b2441afa6e4514202c5fe388ef9d9c05b89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-09-09T23:20:15Z",
    "title_canon_sha256": "1dc1cf3b456863b8872369f74e60d7fcc9c5b3e559f95f8c4dd644733998b87a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.04586",
    "kind": "arxiv",
    "version": 1
  }
}