Pith Number

pith:W4G2P2KM

pith:2001:W4G2P2KMLCIZCAWFMVDMNUSAPM

not attested not anchored not stored refs pending

Hypersurfaces in $H^n$ and the space of its horospheres

Jean-Marc Schlenker

arxiv:math/0101248 v1 · 2001-01-30 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4G2P2KMLCIZCAWFMVDMNUSAPM}

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	2026-05-18T01:05:37.959018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b70da7e94c58919102c56546c6d2407b1bb414334e18b20717a47f14ac3be824

Aliases

arxiv: math/0101248 · arxiv_version: math/0101248v1 · doi: 10.48550/arxiv.math/0101248 · pith_short_12: W4G2P2KMLCIZ · pith_short_16: W4G2P2KMLCIZCAWF · pith_short_8: W4G2P2KM

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/W4G2P2KMLCIZCAWFMVDMNUSAPM \
  | 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: b70da7e94c58919102c56546c6d2407b1bb414334e18b20717a47f14ac3be824

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52e42f51a2577eece49311e9d370f2bbfb81d6d06ea7801b321eebc4f1c4ef00",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2001-01-30T11:34:45Z",
    "title_canon_sha256": "2ae6c3280c39807ab4aa9ceb2b7a39789797e8324e8d4b177b0fd196b7122306"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0101248",
    "kind": "arxiv",
    "version": 1
  }
}