Pith Number

pith:BYA3GVZT

pith:2010:BYA3GVZTEOQVDTYO2VYUPU7Z3R

not attested not anchored not stored refs pending

CMC-1 trinoids in hyperbolic 3-space and metrics of constant curvature one with conical singularities on the 2-sphere

Kotaro Yamada, Masaaki Umehara, Masatoshi Kokubu, Shoichi Fujimori, Wayne Rossman, Yu Kawakami

arxiv:1008.3734 v3 · 2010-08-23 · 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{BYA3GVZTEOQVDTYO2VYUPU7Z3R}

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	2026-05-18T04:15:18.938912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e01b3573323a151cf0ed57147d3f9dc42274e5af578a001724f569365f3504c

Aliases

arxiv: 1008.3734 · arxiv_version: 1008.3734v3 · doi: 10.48550/arxiv.1008.3734 · pith_short_12: BYA3GVZTEOQV · pith_short_16: BYA3GVZTEOQVDTYO · pith_short_8: BYA3GVZT

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/BYA3GVZTEOQVDTYO2VYUPU7Z3R \
  | 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: 0e01b3573323a151cf0ed57147d3f9dc42274e5af578a001724f569365f3504c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c705d82333eb827d808a81c83bf6e3e6aa969f590e2fb590dd4b0cb2ee3a1e74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-08-23T00:58:42Z",
    "title_canon_sha256": "285de2958da78f72af49c991f5463d65763e36a55f391bd64c3f02b0f4293503"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3734",
    "kind": "arxiv",
    "version": 3
  }
}