Pith Number

pith:CCBSDMYH

pith:2026:CCBSDMYHXNHZR75PZTLAXPG3GN

not attested not anchored not stored refs pending

Some Integrability Properties of $m$-Subharmonic Functions

Genglong Lin

arxiv:2607.21144 v1 · 2026-07-23 · 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{CCBSDMYHXNHZR75PZTLAXPG3GN}

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	2026-07-24T01:23:55.375549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

108321b307bb4f98ffafccd60bbcdb336531232646e5f87fa0e6b5e5514e4713

Aliases

arxiv: 2607.21144 · arxiv_version: 2607.21144v1 · doi: 10.48550/arxiv.2607.21144 · pith_short_12: CCBSDMYHXNHZ · pith_short_16: CCBSDMYHXNHZR75P · pith_short_8: CCBSDMYH

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/CCBSDMYHXNHZR75PZTLAXPG3GN \
  | 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: 108321b307bb4f98ffafccd60bbcdb336531232646e5f87fa0e6b5e5514e4713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db8b0e6a6f160b4f321b10121974e0f8444aa3d244a3fa40644a7100f8332be7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2026-07-23T10:24:37Z",
    "title_canon_sha256": "4ef76067dc158d08d3b87699e57a820d5102e47e645d5dfd385685f4e31e920c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21144",
    "kind": "arxiv",
    "version": 1
  }
}