Pith Number

pith:FGUPZO25

pith:2026:FGUPZO25PZH6GZW6Q7IQESUQO3

not attested not anchored not stored refs pending

Curvature at Infinity Governs the Topology of Complete Non-Compact Surfaces Admitting Schr\"odinger Operators of Finite Index

Hideaki Harumoto, Kei Kondo

arxiv:2608.10518 v1 · 2026-08-11 · math.DG · 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{FGUPZO25PZH6GZW6Q7IQESUQO3}

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	2026-08-12T01:22:39.429286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29a8fcbb5d7e4fe366de87d1024a9076f28ca783622c61724956790ff2859d21

Aliases

arxiv: 2608.10518 · arxiv_version: 2608.10518v1 · doi: 10.48550/arxiv.2608.10518 · pith_short_12: FGUPZO25PZH6 · pith_short_16: FGUPZO25PZH6GZW6 · pith_short_8: FGUPZO25

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/FGUPZO25PZH6GZW6Q7IQESUQO3 \
  | 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: 29a8fcbb5d7e4fe366de87d1024a9076f28ca783622c61724956790ff2859d21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "168370be4cbcd6d6a3a794caf7d69f54e9d38107653fb39a5b37c5500f4127fb",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-08-11T05:46:12Z",
    "title_canon_sha256": "a84a9d5a567fb1328ab03820562ba8483a44d6fd35d358b0a3ef78feb3303e6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10518",
    "kind": "arxiv",
    "version": 1
  }
}