Pith Number

pith:APKKPI53

pith:2026:APKKPI53MSKQUHZVVHODPL2VOH

not attested not anchored not stored refs pending

Maximal subextension of $m$-subharmonic functions

Ayoub El-Gasmi, Hichame Amal, Sa\"id Asserda

arxiv:2607.19132 v1 · 2026-07-21 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APKKPI53MSKQUHZVVHODPL2VOH}

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	2026-07-22T01:24:10.284852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03d4a7a3bb64950a1f35a9dc37af5571edda68c10d74fbcc245b8c9a91503c57

Aliases

arxiv: 2607.19132 · arxiv_version: 2607.19132v1 · doi: 10.48550/arxiv.2607.19132 · pith_short_12: APKKPI53MSKQ · pith_short_16: APKKPI53MSKQUHZV · pith_short_8: APKKPI53

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/APKKPI53MSKQUHZVVHODPL2VOH \
  | 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: 03d4a7a3bb64950a1f35a9dc37af5571edda68c10d74fbcc245b8c9a91503c57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08ce57c40640b75dc7745ea403e7cc144e62df9cad5c00acfeee06eed0f9c692",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2026-07-21T14:24:45Z",
    "title_canon_sha256": "2e1bec1b8d4bcf2d19ed8e0e5de149427d77a03f620eff564d04cdeee8f544e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19132",
    "kind": "arxiv",
    "version": 1
  }
}