Pith Number

pith:JK4FKBEH

pith:2017:JK4FKBEHRLZTRCMNYKNPC3FJR2

not attested not anchored not stored refs pending

On Willmore Legendrian surfaces in $\mathbb{S}^5$ and the contact stationary Legendrian Willmore surfaces

Yong Luo

arxiv:1705.11115 v1 · 2017-05-31 · 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{JK4FKBEHRLZTRCMNYKNPC3FJR2}

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	2026-05-18T00:43:19.249363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ab85504878af338898dc29af16ca98e8978b39ed32a8c502c2fbdd4716d5573

Aliases

arxiv: 1705.11115 · arxiv_version: 1705.11115v1 · doi: 10.48550/arxiv.1705.11115 · pith_short_12: JK4FKBEHRLZT · pith_short_16: JK4FKBEHRLZTRCMN · pith_short_8: JK4FKBEH

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/JK4FKBEHRLZTRCMNYKNPC3FJR2 \
  | 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: 4ab85504878af338898dc29af16ca98e8978b39ed32a8c502c2fbdd4716d5573

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1722cea15fb0b9c85b0b13ae977cc65e3e4cc0252a823598b019fb867cfd79fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-05-31T14:35:25Z",
    "title_canon_sha256": "52dd3443c77f01cf24e1b447fb0953762c5219f67dc70dd090b8d68ff8dea553"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.11115",
    "kind": "arxiv",
    "version": 1
  }
}