Pith Number

pith:2GU3BYAQ

pith:2026:2GU3BYAQPSTEZXP7WEUK5FKK2C

not attested not anchored not stored refs pending

Geometric Criteria for Morrey Admissibility via the Real Log-Canonical Threshold

Andr\'ea Prokopczyk, Nivaldo Grulha

arxiv:2607.14991 v1 · 2026-07-16 · math.AP · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GU3BYAQPSTEZXP7WEUK5FKK2C}

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	2026-07-17T01:22:02.679659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1a9b0e0107ca64cddffb128ae954ad0bd1af59ad29d3847a8f395797d2fe687

Aliases

arxiv: 2607.14991 · arxiv_version: 2607.14991v1 · doi: 10.48550/arxiv.2607.14991 · pith_short_12: 2GU3BYAQPSTE · pith_short_16: 2GU3BYAQPSTEZXP7 · pith_short_8: 2GU3BYAQ

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/2GU3BYAQPSTEZXP7WEUK5FKK2C \
  | 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: d1a9b0e0107ca64cddffb128ae954ad0bd1af59ad29d3847a8f395797d2fe687

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1001ae4b1dda6c4b0ae9925d22e74cbd4c5d542f3f936fb58a0b427fc5827ccd",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-16T13:42:48Z",
    "title_canon_sha256": "00a215975efbe74e1f274132f4ad7419a2fc1c39dbfa625d1aa772ac457b648f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14991",
    "kind": "arxiv",
    "version": 1
  }
}