Pith Number

pith:6QZN6U5H

pith:2025:6QZN6U5H353KK6HIXR7CMSO5RF

not attested not anchored not stored refs pending

Lower Bound of Nodal Sets in Elliptic Homogenization and Functions with Strong Maximum Principle

Jiahuan Li, Zhichen Ying

arxiv:2512.12305 v3 · 2025-12-13 · 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{6QZN6U5H353KK6HIXR7CMSO5RF}

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	2026-06-09T02:07:15.165826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f432df53a7df76a578e8bc7e2649dd8979f5fc6903032ba71dd8f7e111bfac39

Aliases

arxiv: 2512.12305 · arxiv_version: 2512.12305v3 · doi: 10.48550/arxiv.2512.12305 · pith_short_12: 6QZN6U5H353K · pith_short_16: 6QZN6U5H353KK6HI · pith_short_8: 6QZN6U5H

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/6QZN6U5H353KK6HIXR7CMSO5RF \
  | 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: f432df53a7df76a578e8bc7e2649dd8979f5fc6903032ba71dd8f7e111bfac39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f2ca57e6a6dd7b81fb8c8c5cd2e1e26e77bc5f9c14538ddd2a500b7976d0dcf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-12-13T12:13:52Z",
    "title_canon_sha256": "e20cbf4b2418ae1164b7715d3d121a0004096691402ae18796cd28927faf096a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.12305",
    "kind": "arxiv",
    "version": 3
  }
}