Pith Number

pith:L7J3TAQS

pith:2013:L7J3TAQS3WNPJX6KRQRTYWRAR3

not attested not anchored not stored refs pending

Spectral estimates and basis properties for self-adjoint block operator matrices

Michael Strauss

arxiv:1309.2100 v1 · 2013-09-09 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7J3TAQS3WNPJX6KRQRTYWRAR3}

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	2026-05-18T03:13:47.158058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fd3b98212dd9af4dfca8c233c5a208ecc29e14b67420d35b0033e9e5bb5f9a8

Aliases

arxiv: 1309.2100 · arxiv_version: 1309.2100v1 · doi: 10.48550/arxiv.1309.2100 · pith_short_12: L7J3TAQS3WNP · pith_short_16: L7J3TAQS3WNPJX6K · pith_short_8: L7J3TAQS

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/L7J3TAQS3WNPJX6KRQRTYWRAR3 \
  | 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: 5fd3b98212dd9af4dfca8c233c5a208ecc29e14b67420d35b0033e9e5bb5f9a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4092033b9bd1144908a9da70bdcb8076e1c3b3ed105993d3bdae3748d5cd24ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-09-09T10:28:42Z",
    "title_canon_sha256": "41779d471fcaeb3f559705f16dcdc512b762f4ed2925b7029b6172f5f05a263a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2100",
    "kind": "arxiv",
    "version": 1
  }
}