Pith Number

pith:V63T2NCB

pith:2011:V63T2NCBX3YQI7YOPJHWVALJ2A

not attested not anchored not stored refs pending

An Omori-Yau maximum principle for semi-elliptic operators and Liouville-type theorems

Chanyoung Sung, Kyusik Hong

arxiv:1111.3456 v4 · 2011-11-15 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V63T2NCBX3YQI7YOPJHWVALJ2A}

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	2026-05-18T03:20:45.558467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afb73d3441bef1047f0e7a4f6a8169d01d1f360844e47dc27335f5385c11334f

Aliases

arxiv: 1111.3456 · arxiv_version: 1111.3456v4 · doi: 10.48550/arxiv.1111.3456 · pith_short_12: V63T2NCBX3YQ · pith_short_16: V63T2NCBX3YQI7YO · pith_short_8: V63T2NCB

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/V63T2NCBX3YQI7YOPJHWVALJ2A \
  | 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: afb73d3441bef1047f0e7a4f6a8169d01d1f360844e47dc27335f5385c11334f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01d73fc67d2c6f1adc2536f40e288c16eaf38219d73ef8e3c3e29b91e33ff0ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-15T09:02:37Z",
    "title_canon_sha256": "bbc67b015b3d35cec9c7eb209b348366a392328f05d16a6df1fb8dd7d69cbf19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3456",
    "kind": "arxiv",
    "version": 4
  }
}