Pith Number

pith:CSIG2FHX

pith:2013:CSIG2FHXYL7UMVXHYTIHM53YMS

not attested not anchored not stored refs pending

Variational approach to second-order impulsive dynamic equations on time scales

Tania Pernas-Casta\~no, Victoria Otero-Espinar

arxiv:1302.4666 v3 · 2013-02-19 · 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{CSIG2FHXYL7UMVXHYTIHM53YMS}

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	2026-05-18T03:27:03.020367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14906d14f7c2ff4656e7c4d076777864b8e4934179fae5346706f57acef7e65b

Aliases

arxiv: 1302.4666 · arxiv_version: 1302.4666v3 · doi: 10.48550/arxiv.1302.4666 · pith_short_12: CSIG2FHXYL7U · pith_short_16: CSIG2FHXYL7UMVXH · pith_short_8: CSIG2FHX

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/CSIG2FHXYL7UMVXHYTIHM53YMS \
  | 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: 14906d14f7c2ff4656e7c4d076777864b8e4934179fae5346706f57acef7e65b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed6b8f748f6568c67298026a6ace98f15a3f02b834abb76a8aa86b6ff96e4404",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-02-19T16:49:14Z",
    "title_canon_sha256": "4c2f06d50fab2718745d25bf342a7f4666057f62ff94701093b65c909efe5242"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4666",
    "kind": "arxiv",
    "version": 3
  }
}