pith. sign in
Pith Number

pith:6PSR6UMZ

pith:2015:6PSR6UMZWIVR23LWCAEN626LPO
not attested not anchored not stored refs pending

Integration by parts and by substitution unified, Green's Theorem and uniqueness for ODEs

J. A. Cid, Rodrigo L\'opez Pouso

arxiv:1503.05699 v1 · 2015-03-19 · math.CA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6PSR6UMZWIVR23LWCAEN626LPO}

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 2026-05-18T02:20:58.340259Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f3e51f5199b22b1d6d761008df6bcb7b9997b8a91446d48489578732821b4a80

Aliases

arxiv: 1503.05699 · arxiv_version: 1503.05699v1 · doi: 10.48550/arxiv.1503.05699 · pith_short_12: 6PSR6UMZWIVR · pith_short_16: 6PSR6UMZWIVR23LW · pith_short_8: 6PSR6UMZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6PSR6UMZWIVR23LWCAEN626LPO \
  | 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: f3e51f5199b22b1d6d761008df6bcb7b9997b8a91446d48489578732821b4a80
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4720f14319c0191a2057cafe6342c64113eff188554f7e6ebe23a0ca3ba86d85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-03-19T10:35:14Z",
    "title_canon_sha256": "41ca3f130fbd4e36450d4d77f194e41b4a37e8ac72ca334c39972b8df7c387c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05699",
    "kind": "arxiv",
    "version": 1
  }
}