Pith Number

pith:V44IV7HL

pith:2013:V44IV7HLLT4Z6Q2NHMK24QZ3EZ

not attested not anchored not stored refs pending

Essential spectrum of systems of singular differential equations

Christiane Tretter, Heinz Langer, Matthias Langer, Orif O. Ibrogimov

arxiv:1307.5896 v1 · 2013-07-22 · 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{V44IV7HLLT4Z6Q2NHMK24QZ3EZ}

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	2026-05-18T01:29:59.786487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af388afceb5cf99f434d3b15ae433b265ac88f28642477c66e1013c145aae0ec

Aliases

arxiv: 1307.5896 · arxiv_version: 1307.5896v1 · doi: 10.48550/arxiv.1307.5896 · pith_short_12: V44IV7HLLT4Z · pith_short_16: V44IV7HLLT4Z6Q2N · pith_short_8: V44IV7HL

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/V44IV7HLLT4Z6Q2NHMK24QZ3EZ \
  | 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: af388afceb5cf99f434d3b15ae433b265ac88f28642477c66e1013c145aae0ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b80717ea8c1b188b74da53d942e4749dfd349f6566a79167ca1b935cbaba0d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-07-22T21:28:23Z",
    "title_canon_sha256": "ffb780f2fd09cdfa67263aba729c26f71835006d266ba648de0b73bc68960791"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5896",
    "kind": "arxiv",
    "version": 1
  }
}