Pith Number

pith:WAYCVXSX

pith:2008:WAYCVXSX6XCHOSJLHOEUSHVDS4

not attested not anchored not stored refs pending

Spectral averaging techniques for Jacobi matrices

Carmen Martinez, Hermann Schulz-Baldes, Rafael del Rio

arxiv:0802.2913 v1 · 2008-02-20 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WAYCVXSX6XCHOSJLHOEUSHVDS4}

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	2026-05-18T01:01:09.241817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0302ade57f5c477492b3b89491ea3973940a9b216a1e7ebd08f559acc54fe91

Aliases

arxiv: 0802.2913 · arxiv_version: 0802.2913v1 · doi: 10.48550/arxiv.0802.2913 · pith_short_12: WAYCVXSX6XCH · pith_short_16: WAYCVXSX6XCHOSJL · pith_short_8: WAYCVXSX

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/WAYCVXSX6XCHOSJLHOEUSHVDS4 \
  | 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: b0302ade57f5c477492b3b89491ea3973940a9b216a1e7ebd08f559acc54fe91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59e3ff5f05b5aadc470275cf031fe1c23d159c636150cae6f013608ad0aa79ce",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-02-20T17:57:11Z",
    "title_canon_sha256": "a302371762ed3c747b43b7c2607909b95385b920263da62c0ed5120db69ad6a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.2913",
    "kind": "arxiv",
    "version": 1
  }
}