Pith Number

pith:OLJ2UBMK

pith:2017:OLJ2UBMKSD3ED6UKP32QR42RSB

not attested not anchored not stored refs pending

Bounds for the Morse index of free boundary minimal surfaces

Vanderson Lima

arxiv:1710.10971 v3 · 2017-10-30 · 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{OLJ2UBMKSD3ED6UKP32QR42RSB}

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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.

Cited by

1 paper in Pith

Inequivalent complexity criteria for free boundary minimal surfaces

Receipt and verification

First computed	2026-07-05T03:39:10.103758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72d3aa058a90f641fa8a7ef508f351904edef8339e29636f375d19dd844e5416

Aliases

arxiv: 1710.10971 · arxiv_version: 1710.10971v3 · doi: 10.48550/arxiv.1710.10971 · pith_short_12: OLJ2UBMKSD3E · pith_short_16: OLJ2UBMKSD3ED6UK · pith_short_8: OLJ2UBMK

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/OLJ2UBMKSD3ED6UKP32QR42RSB \
  | 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: 72d3aa058a90f641fa8a7ef508f351904edef8339e29636f375d19dd844e5416

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdb20cecb5e5abe662087aab1c5cab10afefca3c2be585c1545c62ac92ecd10d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-10-30T14:29:55Z",
    "title_canon_sha256": "dd29dbc532ee94451a98d851b09200228d06366b5ee079edf4b8415bcb3103d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10971",
    "kind": "arxiv",
    "version": 3
  }
}