Pith Number

pith:7WPP2KCM

pith:2009:7WPP2KCMRTQJTWGVVX3326NV7Z

not attested not anchored not stored refs pending

Value distribution of the hyperbolic Gauss maps for flat fronts in hyperbolic three-space

Yu Kawakami

arxiv:0908.1307 v3 · 2009-08-10 · math.DG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7WPP2KCMRTQJTWGVVX3326NV7Z}

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	2026-05-18T03:55:22.160713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd9efd284c8ce099d8d5adf7bd79b5fe545e11964c0cce2e95156095b74f5376

Aliases

arxiv: 0908.1307 · arxiv_version: 0908.1307v3 · doi: 10.48550/arxiv.0908.1307 · pith_short_12: 7WPP2KCMRTQJ · pith_short_16: 7WPP2KCMRTQJTWGV · pith_short_8: 7WPP2KCM

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/7WPP2KCMRTQJTWGVVX3326NV7Z \
  | 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: fd9efd284c8ce099d8d5adf7bd79b5fe545e11964c0cce2e95156095b74f5376

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d896c69789311cb9b6d64437b5851c732e3f59a27f1e88167cd7933d9612a9f9",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-08-10T12:17:14Z",
    "title_canon_sha256": "3809dbc3cbd78fd4343f6de49080beb516d720214c0c55ddc30f583cf5057ad6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1307",
    "kind": "arxiv",
    "version": 3
  }
}