Pith Number

pith:WVKMXPVM

pith:2015:WVKMXPVMJZNGODSDPFBGRALBRG

not attested not anchored not stored refs pending

Algebraic surfaces of the Laplace-Beltrami operators of the TF-type surfaces

Erhan Guler, H. Hilmi Hac{\i}salihoglu, Semra Saracoglu Celik, Yusuf Yayl{\i}

arxiv:1505.04164 v2 · 2015-04-17 · 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{WVKMXPVMJZNGODSDPFBGRALBRG}

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	2026-05-18T00:57:44.412628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b554cbbeac4e5a670e43794268816189938400d47ec0f354687c0441a73fb626

Aliases

arxiv: 1505.04164 · arxiv_version: 1505.04164v2 · doi: 10.48550/arxiv.1505.04164 · pith_short_12: WVKMXPVMJZNG · pith_short_16: WVKMXPVMJZNGODSD · pith_short_8: WVKMXPVM

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/WVKMXPVMJZNGODSDPFBGRALBRG \
  | 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: b554cbbeac4e5a670e43794268816189938400d47ec0f354687c0441a73fb626

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccd8af282ad8eff4fb2199fbe280b7525306b45720887ca7d5fb26bd52f1c292",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-04-17T06:59:31Z",
    "title_canon_sha256": "46bb6fd235467da4917403dd1a1019c687bb5082509ece146e239bce9dbcc1a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04164",
    "kind": "arxiv",
    "version": 2
  }
}