Pith Number

pith:OP3EL4VG

pith:2010:OP3EL4VGCR22GBP5ID34VD2H44

not attested not anchored not stored refs pending

Spectral Analysis for Matrix Hamiltonian Operators

Gideon Simpson, Jeremy L. Marzuola

arxiv:1003.2474 v2 · 2010-03-12 · math.AP · math.NA · 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{OP3EL4VGCR22GBP5ID34VD2H44}

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	2026-05-18T02:08:34.681393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73f645f2a61475a305fd40f7ca8f47e722bf0794d7bd97a8e135b0f58d7f5c9a

Aliases

arxiv: 1003.2474 · arxiv_version: 1003.2474v2 · doi: 10.48550/arxiv.1003.2474 · pith_short_12: OP3EL4VGCR22 · pith_short_16: OP3EL4VGCR22GBP5 · pith_short_8: OP3EL4VG

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/OP3EL4VGCR22GBP5ID34VD2H44 \
  | 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: 73f645f2a61475a305fd40f7ca8f47e722bf0794d7bd97a8e135b0f58d7f5c9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f10695fe1c5537fdba46830741c09da48f6ba4dc419752f2e9d5f96f9978de9e",
    "cross_cats_sorted": [
      "math.NA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-03-12T04:12:31Z",
    "title_canon_sha256": "61c69ed37216d9e545f4520e5f9f317d8e64bbb477e42059f676176878fefe14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2474",
    "kind": "arxiv",
    "version": 2
  }
}