Pith Number

pith:5PHHZH77

pith:2017:5PHHZH77TD7NPK4LLNIIWLAHLO

not attested not anchored not stored refs pending

Essential spectrum of elliptic systems of pseudo-differential operators on $L^2(\mathbb{R}^N)\oplus L^2(\mathbb{R}^N)$

Christiane Tretter, Orif O. Ibrogimov

arxiv:1703.06344 v1 · 2017-03-18 · 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{5PHHZH77TD7NPK4LLNIIWLAHLO}

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	2026-05-18T00:25:20.915951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebce7c9fff98fed7ab8b5b508b2c075bb54642a2455ce3adfc6bff2a128f2eae

Aliases

arxiv: 1703.06344 · arxiv_version: 1703.06344v1 · doi: 10.48550/arxiv.1703.06344 · pith_short_12: 5PHHZH77TD7N · pith_short_16: 5PHHZH77TD7NPK4L · pith_short_8: 5PHHZH77

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/5PHHZH77TD7NPK4LLNIIWLAHLO \
  | 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: ebce7c9fff98fed7ab8b5b508b2c075bb54642a2455ce3adfc6bff2a128f2eae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c8ea97c62557aa1f0ae9ae6c4621db0341742082ce9cfc695524f5ccbb5dfd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-03-18T20:17:41Z",
    "title_canon_sha256": "c4249bc1ccd8bf9059dbf43fa64c2446ea8853393a0e62d8fabefceb0f1b4075"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06344",
    "kind": "arxiv",
    "version": 1
  }
}