Pith Number

pith:BWKH2CST

pith:2023:BWKH2CSTNOLSWIJR6HGES7SYXT

not attested not anchored not stored refs pending

Discontinuities cause essential spectrum on surfaces

Giovanni Canestrari, Oliver Butterley, Roberto Castorrini

arxiv:2306.00484 v3 · 2023-06-01 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BWKH2CSTNOLSWIJR6HGES7SYXT}

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.

Cited by

1 paper in Pith

Horocycle flows on abelian covers of surfaces of negative curvature

Receipt and verification

First computed	2026-07-05T09:20:36.857943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d947d0a536b972b2131f1cc497e58bce8566eafb6ade83c044d8ba8502e53b2

Aliases

arxiv: 2306.00484 · arxiv_version: 2306.00484v3 · doi: 10.48550/arxiv.2306.00484 · pith_short_12: BWKH2CSTNOLS · pith_short_16: BWKH2CSTNOLSWIJR · pith_short_8: BWKH2CST

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/BWKH2CSTNOLSWIJR6HGES7SYXT \
  | 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: 0d947d0a536b972b2131f1cc497e58bce8566eafb6ade83c044d8ba8502e53b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9784bcec06d08c1c57f8e124963e30e4c372ca49f46c76366b197e98d1252d7c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-06-01T09:36:51Z",
    "title_canon_sha256": "33328b852efc13ae3d63f3d554e8822e1e762498b380cfe6595b085521507228"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.00484",
    "kind": "arxiv",
    "version": 3
  }
}