Pith Number

pith:VBN6XUZO

pith:2014:VBN6XUZORLFA322LPZ4UC5RWWF

not attested not anchored not stored refs pending

On an Enneper-Weierstrass-type representation of constant Gaussian curvature surfaces in $3$-dimensional hyperbolic space

Graham Smith

arxiv:1404.5006 v1 · 2014-04-20 · 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{VBN6XUZORLFA322LPZ4UC5RWWF}

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	2026-05-18T02:53:52.245597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a85bebd32e8aca0deb4b7e79417636b16a4af743be02e548a02c6bff40c7aa17

Aliases

arxiv: 1404.5006 · arxiv_version: 1404.5006v1 · doi: 10.48550/arxiv.1404.5006 · pith_short_12: VBN6XUZORLFA · pith_short_16: VBN6XUZORLFA322L · pith_short_8: VBN6XUZO

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/VBN6XUZORLFA322LPZ4UC5RWWF \
  | 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: a85bebd32e8aca0deb4b7e79417636b16a4af743be02e548a02c6bff40c7aa17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0084589b14616556dbb14bd4d8975152c519e535dae428bd8c4a3639f39e9ba8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-04-20T04:05:29Z",
    "title_canon_sha256": "9b90b8b612d09cc72cc5be62cf9edc978c891d8db82ce2e8437c66d809f4fc63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5006",
    "kind": "arxiv",
    "version": 1
  }
}