Pith Number

pith:N3ZUR5AR

pith:2014:N3ZUR5ARNIFXW5OA7Z4G5YN4K6

not attested not anchored not stored refs pending

Infinite dimensional oscillatory integrals with polynomial phase and applications to high order heat-type equations

Sonia Mazzucchi

arxiv:1405.4501 v2 · 2014-05-18 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N3ZUR5ARNIFXW5OA7Z4G5YN4K6}

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	2026-05-18T01:12:23.010648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ef348f4116a0b7b75c0fe786ee1bc579ab26eb5e31ace856e87b6c25092c524

Aliases

arxiv: 1405.4501 · arxiv_version: 1405.4501v2 · doi: 10.48550/arxiv.1405.4501 · pith_short_12: N3ZUR5ARNIFX · pith_short_16: N3ZUR5ARNIFXW5OA · pith_short_8: N3ZUR5AR

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/N3ZUR5ARNIFXW5OA7Z4G5YN4K6 \
  | 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: 6ef348f4116a0b7b75c0fe786ee1bc579ab26eb5e31ace856e87b6c25092c524

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baf6fabd562f6c802906cc31ac571bfc38622cd0074557399ee8b2da31188b83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-05-18T13:26:55Z",
    "title_canon_sha256": "27293d344bc6332ad4169793fa82bb249dcd62c8f964d78dd0bdc6a7357d9eae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4501",
    "kind": "arxiv",
    "version": 2
  }
}