Pith Number

pith:ZM5S4KV6

pith:2014:ZM5S4KV6AKNZ7KBSBZGKQA3M6P

not attested not anchored not stored refs pending

Fractional fundamental lemma and fractional integration by parts formula -- Applications to critical points of Bolza functionals and to linear boundary value problems

Dariusz Idczak, Lo\"ic Bourdin

arxiv:1402.0319 v2 · 2014-02-03 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZM5S4KV6AKNZ7KBSBZGKQA3M6P}

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	2026-05-18T01:22:58.049014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb3b2e2abe029b9fa8320e4ca8036cf3dd8e14855d83acaeef0bd5932e4dce85

Aliases

arxiv: 1402.0319 · arxiv_version: 1402.0319v2 · doi: 10.48550/arxiv.1402.0319 · pith_short_12: ZM5S4KV6AKNZ · pith_short_16: ZM5S4KV6AKNZ7KBS · pith_short_8: ZM5S4KV6

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/ZM5S4KV6AKNZ7KBSBZGKQA3M6P \
  | 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: cb3b2e2abe029b9fa8320e4ca8036cf3dd8e14855d83acaeef0bd5932e4dce85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49d19fbc085ae77af50d6ce0bfe7f83359cc2adcda38191fa29d26775f1eb9fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-02-03T09:32:23Z",
    "title_canon_sha256": "131c756a0b7305b4951c262804a4be27ef0673475752388fc2837adb2ad04200"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0319",
    "kind": "arxiv",
    "version": 2
  }
}