Pith Number

pith:4KP5J3ZZ

pith:2013:4KP5J3ZZQ6MRVKXYQGVV2NSK47

not attested not anchored not stored refs pending

On summability, integrability and impulsive differential equations in Banach spaces

Seppo Heikkil\"a

arxiv:1303.6262 v1 · 2013-03-25 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KP5J3ZZQ6MRVKXYQGVV2NSK47}

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	2026-05-18T03:10:11.569575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e29fd4ef3987991aaaf881ab5d364ae7cf4e4c56e23e56ca216384e05866d424

Aliases

arxiv: 1303.6262 · arxiv_version: 1303.6262v1 · doi: 10.48550/arxiv.1303.6262 · pith_short_12: 4KP5J3ZZQ6MR · pith_short_16: 4KP5J3ZZQ6MRVKXY · pith_short_8: 4KP5J3ZZ

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/4KP5J3ZZQ6MRVKXYQGVV2NSK47 \
  | 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: e29fd4ef3987991aaaf881ab5d364ae7cf4e4c56e23e56ca216384e05866d424

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13310ce22a9084b3e0a917997ed8abe15d52a1a3e1906f60c1d16a67a8e04e57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-03-25T19:32:25Z",
    "title_canon_sha256": "5d4124f2445f1fc363201962eb6e6fa02e90e80fa8008946184338a5ea478094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6262",
    "kind": "arxiv",
    "version": 1
  }
}