Pith Number

pith:VVFA436F

pith:2025:VVFA436FD27QXNHATDEVWX3F7Y

not attested not anchored not stored refs pending

Extended Sobolev Scale on Non-Compact Manifolds

Ognjen Milatovic

arxiv:2509.20598 v2 · 2025-09-24 · 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{VVFA436FD27QXNHATDEVWX3F7Y}

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	2026-06-08T01:03:48.641265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad4a0e6fc51ebf0bb4e098c95b5f65fe0178304fff86e8582aedae00e8a339fd

Aliases

arxiv: 2509.20598 · arxiv_version: 2509.20598v2 · doi: 10.48550/arxiv.2509.20598 · pith_short_12: VVFA436FD27Q · pith_short_16: VVFA436FD27QXNHA · pith_short_8: VVFA436F

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/VVFA436FD27QXNHATDEVWX3F7Y \
  | 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: ad4a0e6fc51ebf0bb4e098c95b5f65fe0178304fff86e8582aedae00e8a339fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e43dadf4eda31066138dec6ba3755a2772492fba3be8d15d7fe228db784c92de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-09-24T22:39:05Z",
    "title_canon_sha256": "d760496743acbfcdfcb2ef699c1ceac424cca6eed197844a25556fb1cae83b57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.20598",
    "kind": "arxiv",
    "version": 2
  }
}