Pith Number

pith:DWS2H6PK

pith:2010:DWS2H6PKOQCR22RBPAICI4MMVS

not attested not anchored not stored refs pending

Stable and Norm-stable Invariant Subspaces

Alexander Borichev, Don Hadwin, Hassan Yousefi

arxiv:1001.1018 v2 · 2010-01-07 · 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{DWS2H6PKOQCR22RBPAICI4MMVS}

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	2026-05-18T04:42:03.360980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1da5a3f9ea74051d6a21781024718cac8a86330db0e01e22b5597cbea3faf549

Aliases

arxiv: 1001.1018 · arxiv_version: 1001.1018v2 · doi: 10.48550/arxiv.1001.1018 · pith_short_12: DWS2H6PKOQCR · pith_short_16: DWS2H6PKOQCR22RB · pith_short_8: DWS2H6PK

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/DWS2H6PKOQCR22RBPAICI4MMVS \
  | 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: 1da5a3f9ea74051d6a21781024718cac8a86330db0e01e22b5597cbea3faf549

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f6b6c166463905346a1ed8b8a8c4abd854d93f803896e9adb95c1df4386a055",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-01-07T03:18:30Z",
    "title_canon_sha256": "99206f1b7651d731666d09f9dbd3f2d33699e7ac4273827fe6ff2df6da0a7637"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1018",
    "kind": "arxiv",
    "version": 2
  }
}