Pith Number

pith:HMWTY3ZH

pith:2010:HMWTY3ZHHWI5HC6UMVXMGT4ET5

not attested not anchored not stored refs pending

Invertibility threshold for $H^\infty$ trace algebras, and effective matrix inversions

Nikolai Nikolski, Vasily Vasyunin

arxiv:1010.6090 v1 · 2010-10-28 · 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{HMWTY3ZHHWI5HC6UMVXMGT4ET5}

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	2026-05-18T04:38:07.500189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b2d3c6f273d91d38bd4656ec34f849f410115e12081626ea3418959a645f227

Aliases

arxiv: 1010.6090 · arxiv_version: 1010.6090v1 · doi: 10.48550/arxiv.1010.6090 · pith_short_12: HMWTY3ZHHWI5 · pith_short_16: HMWTY3ZHHWI5HC6U · pith_short_8: HMWTY3ZH

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/HMWTY3ZHHWI5HC6UMVXMGT4ET5 \
  | 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: 3b2d3c6f273d91d38bd4656ec34f849f410115e12081626ea3418959a645f227

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18f27ec2aa6f2338a690f4a38cacc81f489aaa96f9b96545ef288204383180e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-10-28T20:40:58Z",
    "title_canon_sha256": "ea9d528ae97763040e6d16b8ff4f7d63561fdaf854bd1bacf7626ba632f8e68a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.6090",
    "kind": "arxiv",
    "version": 1
  }
}