Pith Number

pith:MUUZCFFI

pith:2025:MUUZCFFIFP2LCCCXOMN6GRMBWL

not attested not anchored not stored refs pending

Analyticity of Exponential Dirichlet Series and Applications to the Approximate Controllability of Parabolic Equations

Mohamed Ouzahra

arxiv:2506.07892 v1 · 2025-06-09 · math.OC · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUUZCFFIFP2LCCCXOMN6GRMBWL}

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	2026-07-05T11:18:34.982429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65299114a82bf4b10857731be34581b2f80530742dd4220225cc05f79da75add

Aliases

arxiv: 2506.07892 · arxiv_version: 2506.07892v1 · doi: 10.48550/arxiv.2506.07892 · pith_short_12: MUUZCFFIFP2L · pith_short_16: MUUZCFFIFP2LCCCX · pith_short_8: MUUZCFFI

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/MUUZCFFIFP2LCCCXOMN6GRMBWL \
  | 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: 65299114a82bf4b10857731be34581b2f80530742dd4220225cc05f79da75add

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cc8b78b5802838aca6666c366e63fd17985b34a73807de75abb32caae5a1c82",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-09T16:07:19Z",
    "title_canon_sha256": "aa7618671152ab99136f16302f1f839a2ea543384746ee1b30742338f6e215f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07892",
    "kind": "arxiv",
    "version": 1
  }
}