Pith Number

pith:F5HLWPYB

pith:2015:F5HLWPYBTHU5PPWBS7IBRGYOKH

not attested not anchored not stored refs pending

Associated Families of Surfaces in Warped Products and Homogeneous Spaces

Marie-Am\'elie Lawn, Miguel Ortega

arxiv:1504.00589 v4 · 2015-04-02 · 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{F5HLWPYBTHU5PPWBS7IBRGYOKH}

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	2026-05-17T23:53:55.987104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f4ebb3f0199e9d7bec197d0189b0e51e9d87782e9c8e6c9cea604c478390844

Aliases

arxiv: 1504.00589 · arxiv_version: 1504.00589v4 · doi: 10.48550/arxiv.1504.00589 · pith_short_12: F5HLWPYBTHU5 · pith_short_16: F5HLWPYBTHU5PPWB · pith_short_8: F5HLWPYB

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/F5HLWPYBTHU5PPWBS7IBRGYOKH \
  | 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: 2f4ebb3f0199e9d7bec197d0189b0e51e9d87782e9c8e6c9cea604c478390844

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86ddee0e921c671f516aa00f46cbbccd65832afbe946c43e309d257e224c60b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-04-02T15:32:06Z",
    "title_canon_sha256": "f94ee0169c75816b47053da44f1e71507be5a052346d21981a293ac493a8ba44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00589",
    "kind": "arxiv",
    "version": 4
  }
}