Pith Number

pith:FV4UTRP5

pith:2019:FV4UTRP5QBOKGWR6VNXI2UB3YG

not attested not anchored not stored refs pending

Free boundary minimal surfaces in the unit ball : recent advances and open questions

Martin Li

arxiv:1907.05053 v3 · 2019-07-11 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FV4UTRP5QBOKGWR6VNXI2UB3YG}

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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

On free boundary minimal submanifolds with boundary on concentric spheres in Euclidean spac

Receipt and verification

First computed	2026-07-05T01:15:35.786225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d7949c5fd805ca35a3eab6e8d503bc1b91e6312f75b38cac5a9179dfda64ba0

Aliases

arxiv: 1907.05053 · arxiv_version: 1907.05053v3 · doi: 10.48550/arxiv.1907.05053 · pith_short_12: FV4UTRP5QBOK · pith_short_16: FV4UTRP5QBOKGWR6 · pith_short_8: FV4UTRP5

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/FV4UTRP5QBOKGWR6VNXI2UB3YG \
  | 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: 2d7949c5fd805ca35a3eab6e8d503bc1b91e6312f75b38cac5a9179dfda64ba0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1336d7b83724ab277f8449b68d22746665011af61972ee09ec63239731257568",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-07-11T08:47:43Z",
    "title_canon_sha256": "820e4f384e00ae45f11fd15a437da6228ed3035bf7ae78470aba5a08062a5b0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05053",
    "kind": "arxiv",
    "version": 3
  }
}