Pith Number

pith:XUCTHMP4

pith:2019:XUCTHMP4I45XQ4M7GMCAMQGMU4

not attested not anchored not stored refs pending

Degeneration of 3-dimensional hyperbolic cone structures with decreasing cone angles

Ken'ichi Yoshida

arxiv:1909.06622 v3 · 2019-09-14 · math.GT · 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{XUCTHMP4I45XQ4M7GMCAMQGMU4}

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	2026-07-05T05:06:06.315855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd0533b1fc473b78719f33040640cca723dd6d3cac69dec8d025f98680f86c56

Aliases

arxiv: 1909.06622 · arxiv_version: 1909.06622v3 · doi: 10.48550/arxiv.1909.06622 · pith_short_12: XUCTHMP4I45X · pith_short_16: XUCTHMP4I45XQ4M7 · pith_short_8: XUCTHMP4

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/XUCTHMP4I45XQ4M7GMCAMQGMU4 \
  | 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: bd0533b1fc473b78719f33040640cca723dd6d3cac69dec8d025f98680f86c56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27bdba60817f671831f79a60a047911793fb364f995a04020676b6186832bbbd",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-09-14T16:15:11Z",
    "title_canon_sha256": "e9fe6bc940c50c0f208617da9cd79ea8b205fb1781cd0162031a5a3d8b2c451a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.06622",
    "kind": "arxiv",
    "version": 3
  }
}