Pith Number

pith:33O6WMWK

pith:2019:33O6WMWK7PFKPGQ7VE3RESQA6K

not attested not anchored not stored refs pending

Toeplitz band matrices with small random perturbations

Johannes Sjoestrand, Martin Vogel

arxiv:1901.08982 v1 · 2019-01-25 · math.SP · math.AP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33O6WMWK7PFKPGQ7VE3RESQA6K}

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	2026-05-17T23:55:31.035140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deddeb32cafbcaa79a1fa937124a00f29882229cc9d519d1c3c579ba1f5dbdf1

Aliases

arxiv: 1901.08982 · arxiv_version: 1901.08982v1 · doi: 10.48550/arxiv.1901.08982 · pith_short_12: 33O6WMWK7PFK · pith_short_16: 33O6WMWK7PFKPGQ7 · pith_short_8: 33O6WMWK

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/33O6WMWK7PFKPGQ7VE3RESQA6K \
  | 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: deddeb32cafbcaa79a1fa937124a00f29882229cc9d519d1c3c579ba1f5dbdf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cabe6585dbb63ce2cf92c1cacb1e14ab5861c07f9967375211725426119dbeb2",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-01-25T16:56:32Z",
    "title_canon_sha256": "9b83c3c30229393a4849d5c663e333d91c74eefc5bacab9afbafda9244df30ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08982",
    "kind": "arxiv",
    "version": 1
  }
}