Pith Number

pith:KX5QWHND

pith:2009:KX5QWHNDC3IUW7ZHXBDNTJSCEY

not attested not anchored not stored refs pending

Discrete flat surfaces and linear Weingarten surfaces in hyperbolic 3-space

Masaaki Yoshida, Takeshi Sasaki, Tim Hoffmann, Wayne Rossman

arxiv:0912.4972 v2 · 2009-12-25 · 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{KX5QWHNDC3IUW7ZHXBDNTJSCEY}

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	2026-05-18T00:34:39.733200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55fb0b1da316d14b7f27b846d9a64226004beae9461cc36c11643502aa7570dc

Aliases

arxiv: 0912.4972 · arxiv_version: 0912.4972v2 · doi: 10.48550/arxiv.0912.4972 · pith_short_12: KX5QWHNDC3IU · pith_short_16: KX5QWHNDC3IUW7ZH · pith_short_8: KX5QWHND

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/KX5QWHNDC3IUW7ZHXBDNTJSCEY \
  | 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: 55fb0b1da316d14b7f27b846d9a64226004beae9461cc36c11643502aa7570dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "170589af5c16504f2588320bbcc7b4ffaa9113d6353950cbbacf75f345c90e40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-12-25T23:47:42Z",
    "title_canon_sha256": "fa37d1f0ed2359fc05d0e2cb1597691bc247118fa97274462e42579129ffa395"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4972",
    "kind": "arxiv",
    "version": 2
  }
}